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51690528 = 2533292063
BaseRepresentation
bin1100010100101…
…1110000100000
310121021011002000
43011023300200
5101213044103
65043524000
71165235151
oct305136040
9117234060
1051690528
11271a594a
1215389600
13a92aa16
146c17928
154810aa3
hex314bc20

51690528 has 96 divisors (see below), whose sum is σ = 156038400. Its totient is φ = 16627968.

The previous prime is 51690503. The next prime is 51690539. The reversal of 51690528 is 82509615.

It is a happy number.

51690528 is a `hidden beast` number, since 516 + 90 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 51690492 and 51690501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24025 + ... + 26087.

It is an arithmetic number, because the mean of its divisors is an integer number (1625400).

Almost surely, 251690528 is an apocalyptic number.

51690528 is a gapful number since it is divisible by the number (58) 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 51690528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78019200).

51690528 is an abundant number, since it is smaller than the sum of its proper divisors (104347872).

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

51690528 is a wasteful number, since it uses less digits than its factorization.

51690528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 51690528 is about 7189.6125069436. The cubic root of 51690528 is about 372.5091882484.

The spelling of 51690528 in words is "fifty-one million, six hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2063 2088 2784 3132 4126 4176 6189 6264 8252 8352 12378 12528 16504 18567 24756 25056 33008 37134 49512 55701 59827 66016 74268 99024 111402 119654 148536 179481 198048 222804 239308 297072 358962 445608 478616 538443 594144 717924 891216 957232 1076886 1435848 1615329 1782432 1914464 2153772 2871696 3230658 4307544 5743392 6461316 8615088 12922632 17230176 25845264 51690528