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51728832 = 2632312897
BaseRepresentation
bin1100010101010…
…1000111000000
310121100002121200
43011111013000
5101220310312
65044421200
71165454631
oct305250700
9117302550
1051728832
1127221701
12153a7800
13a94229c
146c27888
15481c0dc
hex31551c0

51728832 has 84 divisors (see below), whose sum is σ = 153107136. Its totient is φ = 16680960.

The previous prime is 51728827. The next prime is 51728843. The reversal of 51728832 is 23882715.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16408 + ... + 19304.

It is an arithmetic number, because the mean of its divisors is an integer number (1822704).

Almost surely, 251728832 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 51728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76553568).

51728832 is an abundant number, since it is smaller than the sum of its proper divisors (101378304).

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

51728832 is a wasteful number, since it uses less digits than its factorization.

51728832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2933 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 51728832 is about 7192.2758567786. The cubic root of 51728832 is about 372.6011784671.

The spelling of 51728832 in words is "fifty-one million, seven hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2897 2976 4464 5794 5952 8691 8928 11588 17382 17856 23176 26073 34764 46352 52146 69528 89807 92704 104292 139056 179614 185408 208584 269421 278112 359228 417168 538842 556224 718456 808263 834336 1077684 1436912 1616526 1668672 2155368 2873824 3233052 4310736 5747648 6466104 8621472 12932208 17242944 25864416 51728832