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51428132 = 22731179331
BaseRepresentation
bin1100010000101…
…1101100100100
310120202211010122
43010023230210
5101131200012
65034141112
71163063150
oct304135444
9116684118
1051428132
1127036798
1215281798
13a868462
146b8a060
1547ace72
hex310bb24

51428132 has 48 divisors (see below), whose sum is σ = 107089920. Its totient is φ = 21146400.

The previous prime is 51428123. The next prime is 51428141. The reversal of 51428132 is 23182415.

It is an interprime number because it is at equal distance from previous prime (51428123) and next prime (51428141).

It is a super-2 number, since 2×514281322 = 5289705522018848, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 155207 + ... + 155537.

It is an arithmetic number, because the mean of its divisors is an integer number (2231040).

Almost surely, 251428132 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 51428132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53544960).

51428132 is an abundant number, since it is smaller than the sum of its proper divisors (55661788).

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

51428132 is a wasteful number, since it uses less digits than its factorization.

51428132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 550 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 51428132 is about 7171.3410182476. The cubic root of 51428132 is about 371.8777973756.

The spelling of 51428132 in words is "fifty-one million, four hundred twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 124 179 217 331 358 434 662 716 868 1253 1324 2317 2506 4634 5012 5549 9268 10261 11098 20522 22196 38843 41044 59249 71827 77686 118498 143654 155372 236996 287308 414743 829486 1658972 1836719 3673438 7346876 12857033 25714066 51428132