Search a number
-
+
51132276 = 22331379461
BaseRepresentation
bin1100001100001…
…1011101110100
310120012210022000
43003003131310
5101042213101
65023535300
71160421456
oct303033564
9116183260
1051132276
1126954488
121515a530
13a7938b0
146b102d6
154750486
hex30c3774

51132276 has 96 divisors (see below), whose sum is σ = 144883200. Its totient is φ = 15500160.

The previous prime is 51132271. The next prime is 51132293. The reversal of 51132276 is 67223115.

It is a happy number.

51132276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511322762 = 5229019297880352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51132271) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 110686 + ... + 111146.

It is an arithmetic number, because the mean of its divisors is an integer number (1509200).

Almost surely, 251132276 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 51132276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72441600).

51132276 is an abundant number, since it is smaller than the sum of its proper divisors (93750924).

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

51132276 is a wasteful number, since it uses less digits than its factorization.

51132276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 51132276 is about 7150.6836036843. The cubic root of 51132276 is about 371.1633120727.

The spelling of 51132276 in words is "fifty-one million, one hundred thirty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 79 108 117 156 158 234 237 316 351 461 468 474 702 711 922 948 1027 1383 1404 1422 1844 2054 2133 2766 2844 3081 4108 4149 4266 5532 5993 6162 8298 8532 9243 11986 12324 12447 16596 17979 18486 23972 24894 27729 35958 36419 36972 49788 53937 55458 71916 72838 107874 109257 110916 145676 161811 215748 218514 323622 327771 437028 473447 647244 655542 946894 983313 1311084 1420341 1893788 1966626 2840682 3933252 4261023 5681364 8522046 12783069 17044092 25566138 51132276