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56756752 = 2413353773
BaseRepresentation
bin1101100010000…
…0101000010000
310221210112121221
43120200220100
5104012204002
65344254424
71256265403
oct330405020
9127715557
1056756752
112a046208
1217011414
13b9b29a0
147775d3a
154eb1c37
hex3620a10

56756752 has 40 divisors (see below), whose sum is σ = 118914264. Its totient is φ = 26087424.

The previous prime is 56756747. The next prime is 56756767. The reversal of 56756752 is 25765765.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 56010256 = 864^2 + 7484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56756699 and 56756708.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73038 + ... + 73810.

Almost surely, 256756752 is an apocalyptic number.

56756752 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 56756752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59457132).

56756752 is an abundant number, since it is smaller than the sum of its proper divisors (62157512).

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

56756752 is a wasteful number, since it uses less digits than its factorization.

56756752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1141 counting only the distinct ones).

The product of its digits is 441000, while the sum is 43.

The square root of 56756752 is about 7533.7077193106. The cubic root of 56756752 is about 384.3018821151.

The spelling of 56756752 in words is "fifty-six million, seven hundred fifty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 353 706 773 1412 1546 2824 3092 4589 5648 6184 9178 10049 12368 18356 20098 36712 40196 73424 80392 160784 272869 545738 1091476 2182952 3547297 4365904 7094594 14189188 28378376 56756752