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5446925952 = 273137314947
BaseRepresentation
bin1010001001010100…
…10111111010000000
3112001121100111201020
411010222113322000
542123403112302
62300254305440
7251660051406
oct50452277200
915047314636
105446925952
1123457140a6
1210801b8280
1368a620310
1439959d476
1521d2d8ebc
hex144a97e80

5446925952 has 128 divisors (see below), whose sum is σ = 15795850560. Its totient is φ = 1652908032.

The previous prime is 5446925929. The next prime is 5446925969. The reversal of 5446925952 is 2595296445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×54469259522 = 59338004653142212608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5446925895 and 5446925904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356943 + ... + 371889.

Almost surely, 25446925952 is an apocalyptic number.

5446925952 is a gapful number since it is divisible by the number (52) 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 5446925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7897925280).

5446925952 is an abundant number, since it is smaller than the sum of its proper divisors (10348924608).

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

5446925952 is a wasteful number, since it uses less digits than its factorization.

5446925952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15050 (or 15038 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 51.

The square root of 5446925952 is about 73803.2922842877. The cubic root of 5446925952 is about 1759.4779305531.

The spelling of 5446925952 in words is "five billion, four hundred forty-six million, nine hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 73 78 96 104 128 146 156 192 208 219 292 312 384 416 438 584 624 832 876 949 1168 1248 1664 1752 1898 2336 2496 2847 3504 3796 4672 4992 5694 7008 7592 9344 11388 14016 14947 15184 22776 28032 29894 30368 44841 45552 59788 60736 89682 91104 119576 121472 179364 182208 194311 239152 358728 364416 388622 478304 582933 717456 777244 956608 1091131 1165866 1434912 1554488 1913216 2182262 2331732 2869824 3108976 3273393 4364524 4663464 5739648 6217952 6546786 8729048 9326928 12435904 13093572 14184703 17458096 18653856 24871808 26187144 28369406 34916192 37307712 42554109 52374288 56738812 69832384 74615424 85108218 104748576 113477624 139664768 170216436 209497152 226955248 340432872 418994304 453910496 680865744 907820992 1361731488 1815641984 2723462976 5446925952