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51625632 = 2531134759
BaseRepresentation
bin1100010011101…
…1111010100000
310121010212001110
43010323322200
5101204010012
65042303320
71164545022
oct304737240
9117125043
1051625632
1127161113
1215357b40
13a907316
146bdc012
1547eb73c
hex313bea0

51625632 has 48 divisors (see below), whose sum is σ = 136745280. Its totient is φ = 17052672.

The previous prime is 51625621. The next prime is 51625643. The reversal of 51625632 is 23652615.

51625632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51625621) and next prime (51625643).

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

It is a super-3 number, since 3×516256323 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51625632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8469 + ... + 13227.

It is an arithmetic number, because the mean of its divisors is an integer number (2848860).

Almost surely, 251625632 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 51625632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68372640).

51625632 is an abundant number, since it is smaller than the sum of its proper divisors (85119648).

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

51625632 is a wasteful number, since it uses less digits than its factorization.

51625632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885 (or 4877 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 51625632 is about 7185.0979116502. The cubic root of 51625632 is about 372.3532313705.

The spelling of 51625632 in words is "fifty-one million, six hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 4759 5424 9518 10848 14277 19036 28554 38072 57108 76144 114216 152288 228432 456864 537767 1075534 1613301 2151068 3226602 4302136 6453204 8604272 12906408 17208544 25812816 51625632