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5445122256 = 24327415749
BaseRepresentation
bin1010001001000110…
…11111100011010000
3112001110221212111200
411010203133203100
542122422403011
62300151511200
7251635530000
oct50443374320
915043855450
105445122256
1123446a1a42
12107b688500
1368a13b342
14399250000
1521d07e856
hex1448df8d0

5445122256 has 150 divisors (see below), whose sum is σ = 17778647250. Its totient is φ = 1555650432.

The previous prime is 5445122197. The next prime is 5445122269. The reversal of 5445122256 is 6522215445.

It can be written as a sum of positive squares in only one way, i.e., 3120339600 + 2324782656 = 55860^2 + 48216^2 .

It is a super-3 number, since 3×54451222563 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5445122256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 337870 + ... + 353618.

It is an arithmetic number, because the mean of its divisors is an integer number (118524315).

Almost surely, 25445122256 is an apocalyptic number.

5445122256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5445122256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8889323625).

5445122256 is an abundant number, since it is smaller than the sum of its proper divisors (12333524994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5445122256 is a wasteful number, since it uses less digits than its factorization.

5445122256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15791 (or 15761 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 5445122256 is about 73791.0716550451. The cubic root of 5445122256 is about 1759.2836978369.

The spelling of 5445122256 in words is "five billion, four hundred forty-five million, one hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2401 2744 3087 3528 4116 4802 5488 6174 7056 7203 8232 9604 12348 14406 15749 16464 19208 21609 24696 28812 31498 38416 43218 47247 49392 57624 62996 86436 94494 110243 115248 125992 141741 172872 188988 220486 251984 283482 330729 345744 377976 440972 566964 661458 755952 771701 881944 992187 1133928 1322916 1543402 1763888 1984374 2267856 2315103 2645832 3086804 3968748 4630206 5291664 5401907 6173608 6945309 7937496 9260412 10803814 12347216 13890618 15874992 16205721 18520824 21607628 27781236 32411442 37041648 37813349 43215256 48617163 55562472 64822884 75626698 86430512 97234326 111124944 113440047 129645768 151253396 194468652 226880094 259291536 302506792 340320141 388937304 453760188 605013584 680640282 777874608 907520376 1361280564 1815040752 2722561128 5445122256