Search a number
-
+
56976768 = 273249459
BaseRepresentation
bin1101100101011…
…0010110000000
310222012201102200
43121112112000
5104041224033
65353113200
71261203012
oct331262600
9128181380
1056976768
112a186542
12170b8800
13ba5bb84
1477d21b2
155007013
hex3656580

56976768 has 48 divisors (see below), whose sum is σ = 163959900. Its totient is φ = 18991872.

The previous prime is 56976767. The next prime is 56976769. The reversal of 56976768 is 86767965.

It is a happy number.

56976768 is a `hidden beast` number, since 569 + 7 + 6 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (56976767) and next prime (56976769).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56976767) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 23578 + ... + 25881.

Almost surely, 256976768 is an apocalyptic number.

It is an amenable number.

56976768 is an abundant number, since it is smaller than the sum of its proper divisors (106983132).

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

56976768 is a wasteful number, since it uses less digits than its factorization.

56976768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49479 (or 49464 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 56976768 is about 7548.2957016799. The cubic root of 56976768 is about 384.7978204212.

The spelling of 56976768 in words is "fifty-six million, nine hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 49459 98918 148377 197836 296754 395672 445131 593508 791344 890262 1187016 1582688 1780524 2374032 3165376 3561048 4748064 6330752 7122096 9496128 14244192 18992256 28488384 56976768