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51134832 = 2432727247
BaseRepresentation
bin1100001100010…
…0000101110000
310120012220210200
43003010011300
5101042303312
65023555200
71160432100
oct303040560
9116186720
1051134832
11269563a1
121515bb00
13a794ac8
146b11200
1547510dc
hex30c4170

51134832 has 90 divisors (see below), whose sum is σ = 166493808. Its totient is φ = 14607936.

The previous prime is 51134807. The next prime is 51134857. The reversal of 51134832 is 23843115.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51134807) and next prime (51134857).

It is a super-2 number, since 2×511348322 = 5229542087336448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51134796 and 51134805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3433 + ... + 10679.

Almost surely, 251134832 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 51134832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83246904).

51134832 is an abundant number, since it is smaller than the sum of its proper divisors (115358976).

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

51134832 is a wasteful number, since it uses less digits than its factorization.

51134832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275 (or 7259 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 51134832 is about 7150.8623256220. The cubic root of 51134832 is about 371.1694965397.

Adding to 51134832 its reverse (23843115), we get a palindrome (74977947).

The spelling of 51134832 in words is "fifty-one million, one hundred thirty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 7247 14494 21741 28988 43482 50729 57976 65223 86964 101458 115952 130446 152187 173928 202916 260892 304374 347856 355103 405832 456561 521784 608748 710206 811664 913122 1043568 1065309 1217496 1420412 1826244 2130618 2434992 2840824 3195927 3652488 4261236 5681648 6391854 7304976 8522472 12783708 17044944 25567416 51134832