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5557892256 = 253272819811
BaseRepresentation
bin1010010110100011…
…01011010010100000
3112100100011011212100
411023101223102200
542340310023011
62315300530400
7254505206340
oct51321532240
915310134770
105557892256
1123a2315794
1210b13b0a00
136a7603457
143aa206d20
15227e07d56
hex14b46b4a0

5557892256 has 144 divisors (see below), whose sum is σ = 18129279168. Its totient is φ = 1582156800.

The previous prime is 5557892213. The next prime is 5557892267. The reversal of 5557892256 is 6522987555.

It is a happy number.

5557892256 is a `hidden beast` number, since 5 + 557 + 89 + 2 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561591 + ... + 571401.

It is an arithmetic number, because the mean of its divisors is an integer number (125897772).

Almost surely, 25557892256 is an apocalyptic number.

5557892256 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 5557892256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9064639584).

5557892256 is an abundant number, since it is smaller than the sum of its proper divisors (12571386912).

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

5557892256 is a wasteful number, since it uses less digits than its factorization.

5557892256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10115 (or 10104 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 54.

The square root of 5557892256 is about 74551.2726651933. The cubic root of 5557892256 is about 1771.3458919738.

The spelling of 5557892256 in words is "five billion, five hundred fifty-seven million, eight hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 281 288 336 504 562 672 843 1008 1124 1686 1967 2016 2248 2529 3372 3934 4496 5058 5901 6744 7868 8992 9811 10116 11802 13488 15736 17703 19622 20232 23604 26976 29433 31472 35406 39244 40464 47208 58866 62944 68677 70812 78488 80928 88299 94416 117732 137354 141624 156976 176598 188832 206031 235464 274708 283248 313952 353196 412062 470928 549416 566496 618093 706392 824124 941856 1098832 1236186 1412784 1648248 2197664 2472372 2756891 2825568 3296496 4944744 5513782 6592992 8270673 9889488 11027564 16541346 19298237 19778976 22055128 24812019 33082692 38596474 44110256 49624038 57894711 66165384 77192948 88220512 99248076 115789422 132330768 154385896 173684133 198496152 231578844 264661536 308771792 347368266 396992304 463157688 617543584 694736532 793984608 926315376 1389473064 1852630752 2778946128 5557892256