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51236964 = 223211932
BaseRepresentation
bin1100001101110…
…1000001100100
310120102002220100
43003131001210
5101104040324
65030104100
71161335622
oct303350144
9116362810
1051236964
1126a160a9
12151ab030
13a7cc43c
146b3a512
1547714c9
hex30dd064

51236964 has 27 divisors (see below), whose sum is σ = 129624313. Its totient is φ = 17064672.

The previous prime is 51236953. The next prime is 51236981. The reversal of 51236964 is 46963215.

It is a happy number.

The square root of 51236964 is 7158.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26316900 + 24920064 = 5130^2 + 4992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 42352 + ... + 43544.

Almost surely, 251236964 is an apocalyptic number.

51236964 is the 7158-th square number.

It is an amenable number.

51236964 is an abundant number, since it is smaller than the sum of its proper divisors (78387349).

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

51236964 is a wasteful number, since it uses less digits than its factorization.

51236964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 1198 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The cubic root of 51236964 is about 371.4164454480.

Multiplying 51236964 by its sum of digits (36), we get a square (1844530704 = 429482).

51236964 divided by its sum of digits (36) gives a square (1423249 = 11932).

The spelling of 51236964 in words is "fifty-one million, two hundred thirty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1193 2386 3579 4772 7158 10737 14316 21474 42948 1423249 2846498 4269747 5692996 8539494 12809241 17078988 25618482 51236964