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4913044224 = 28311599857
BaseRepresentation
bin1001001001101011…
…10001101100000000
3110200101202111122220
410210311301230000
540030214403344
62131303331040
7232515121044
oct44465615400
913611674586
104913044224
1120a1315930
12b51450a80
13603b3447a
14348708024
151db4cbc19
hex124d71b00

4913044224 has 144 divisors (see below), whose sum is σ = 14507821440. Its totient is φ = 1463418880.

The previous prime is 4913044211. The next prime is 4913044231. The reversal of 4913044224 is 4224403194.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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, 493504 + ... + 503360.

It is an arithmetic number, because the mean of its divisors is an integer number (100748760).

Almost surely, 24913044224 is an apocalyptic number.

4913044224 is a gapful number since it is divisible by the number (44) 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 4913044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7253910720).

4913044224 is an abundant number, since it is smaller than the sum of its proper divisors (9594777216).

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

4913044224 is a wasteful number, since it uses less digits than its factorization.

4913044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9946 (or 9932 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 4913044224 is about 70093.1111023045. Note that the first 4 decimals coincide. The cubic root of 4913044224 is about 1700.0051007921.

The spelling of 4913044224 in words is "four billion, nine hundred thirteen million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 128 132 176 177 192 236 256 264 352 354 384 472 528 649 704 708 768 944 1056 1298 1408 1416 1888 1947 2112 2596 2816 2832 3776 3894 4224 5192 5664 7552 7788 8448 9857 10384 11328 15104 15576 19714 20768 22656 29571 31152 39428 41536 45312 59142 62304 78856 83072 108427 118284 124608 157712 166144 216854 236568 249216 315424 325281 433708 473136 498432 581563 630848 650562 867416 946272 1163126 1261696 1301124 1734832 1744689 1892544 2326252 2523392 2602248 3469664 3489378 3785088 4652504 5204496 6397193 6939328 6978756 7570176 9305008 10408992 12794386 13878656 13957512 18610016 19191579 20817984 25588772 27757312 27915024 37220032 38383158 41635968 51177544 55830048 74440064 76766316 83271936 102355088 111660096 148880128 153532632 204710176 223320192 307065264 409420352 446640384 614130528 818840704 1228261056 1637681408 2456522112 4913044224