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5432484256 = 251941383569
BaseRepresentation
bin1010000111100110…
…10010000110100000
3112000121011210102121
411003303102012200
542111203444011
62255020554024
7251423232343
oct50363220640
915017153377
105432484256
11233854a911
1210773b2914
13687634b34
143976c045a
1521bdd4e71
hex143cd21a0

5432484256 has 96 divisors (see below), whose sum is σ = 11583129600. Its totient is φ = 2499563520.

The previous prime is 5432484251. The next prime is 5432484257. The reversal of 5432484256 is 6524842345.

It is not an unprimeable number, because it can be changed into a prime (5432484251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9547140 + ... + 9547708.

It is an arithmetic number, because the mean of its divisors is an integer number (120657600).

Almost surely, 25432484256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5432484256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791564800).

5432484256 is an abundant number, since it is smaller than the sum of its proper divisors (6150645344).

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

5432484256 is a wasteful number, since it uses less digits than its factorization.

5432484256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1014 counting only the distinct ones).

The product of its digits is 921600, while the sum is 43.

The square root of 5432484256 is about 73705.3882426516. The cubic root of 5432484256 is about 1757.9215581739.

The spelling of 5432484256 in words is "five billion, four hundred thirty-two million, four hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 152 164 304 328 383 569 608 656 766 779 1138 1312 1532 1558 2276 3064 3116 4552 6128 6232 7277 9104 10811 12256 12464 14554 15703 18208 21622 23329 24928 29108 31406 43244 46658 58216 62812 86488 93316 116432 125624 172976 186632 217927 232864 251248 298357 345952 373264 435854 443251 502496 596714 746528 871708 886502 1193428 1743416 1773004 2386856 3486832 3546008 4140613 4773712 6973664 7092016 8281226 8935007 9547424 14184032 16562452 17870014 33124904 35740028 66249808 71480056 132499616 142960112 169765133 285920224 339530266 679060532 1358121064 2716242128 5432484256