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56889504 = 2532728219
BaseRepresentation
bin1101100100000…
…1000010100000
310222001021201200
43121001002200
5104030431004
65351201200
71260360420
oct331010240
9128037650
1056889504
112a126a21
1217076200
13ba2b239
1477ac480
154edb239
hex36410a0

56889504 has 72 divisors (see below), whose sum is σ = 184897440. Its totient is φ = 16253568.

The previous prime is 56889491. The next prime is 56889517. The reversal of 56889504 is 40598865.

56889504 is a `hidden beast` number, since 5 + 68 + 89 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (56889491) and next prime (56889517).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56889504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12094 + ... + 16125.

It is an arithmetic number, because the mean of its divisors is an integer number (2568020).

Almost surely, 256889504 is an apocalyptic number.

56889504 is the 4032-nd nonagonal number.

It is an amenable number.

56889504 is an abundant number, since it is smaller than the sum of its proper divisors (128007936).

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

56889504 is a wasteful number, since it uses less digits than its factorization.

56889504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28242 (or 28231 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 56889504 is about 7542.5131090373. The cubic root of 56889504 is about 384.6012715724.

The spelling of 56889504 in words is "fifty-six million, eight hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 28219 56438 84657 112876 169314 197533 225752 253971 338628 395066 451504 507942 592599 677256 790132 903008 1015884 1185198 1354512 1580264 1777797 2031768 2370396 2709024 3160528 3555594 4063536 4740792 6321056 7111188 8127072 9481584 14222376 18963168 28444752 56889504