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54869256 = 23321331261
BaseRepresentation
bin1101000101001…
…1110100001000
310211020122110200
43101103310020
5103021304011
65240012200
71234244451
oct321236410
9124218420
1054869256
1128a770a2
1216461060
13b4a1820
147404128
154c3c856
hex3453d08

54869256 has 144 divisors (see below), whose sum is σ = 168075180. Its totient is φ = 16070400.

The previous prime is 54869249. The next prime is 54869273. The reversal of 54869256 is 65296845.

It can be written as a sum of positive squares in 2 ways, for example, as 42380100 + 12489156 = 6510^2 + 3534^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 899466 + ... + 899526.

Almost surely, 254869256 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 54869256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84037590).

54869256 is an abundant number, since it is smaller than the sum of its proper divisors (113205924).

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

54869256 is a wasteful number, since it uses less digits than its factorization.

54869256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 110 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 54869256 is about 7407.3784836472. The cubic root of 54869256 is about 379.9936656377.

The spelling of 54869256 in words is "fifty-four million, eight hundred sixty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 61 62 72 78 93 104 117 122 124 156 183 186 234 244 248 279 312 366 372 403 468 488 549 558 732 744 793 806 936 961 1098 1116 1209 1464 1586 1612 1891 1922 2196 2232 2379 2418 2883 3172 3224 3627 3782 3844 4392 4758 4836 5673 5766 6344 7137 7254 7564 7688 8649 9516 9672 11346 11532 12493 14274 14508 15128 17019 17298 19032 22692 23064 24583 24986 28548 29016 34038 34596 37479 45384 49166 49972 57096 58621 68076 69192 73749 74958 98332 99944 112437 117242 136152 147498 149916 175863 196664 221247 224874 234484 294996 299832 351726 442494 449748 468968 527589 589992 703452 762073 884988 899496 1055178 1406904 1524146 1769976 2110356 2286219 3048292 4220712 4572438 6096584 6858657 9144876 13717314 18289752 27434628 54869256