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51884032 = 21253239
BaseRepresentation
bin1100010111101…
…1000000000000
310121121222111211
43011323000000
5101240242112
65052015504
71200002254
oct305730000
9117558454
1051884032
1127318272
1215461594
13a997b15
146c68264
15484d0a7
hex317b000

51884032 has 52 divisors (see below), whose sum is σ = 106155360. Its totient is φ = 25346048.

The previous prime is 51884029. The next prime is 51884071. The reversal of 51884032 is 23048815.

It is a junction number, because it is equal to n+sod(n) for n = 51883985 and 51884003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216969 + ... + 217207.

Almost surely, 251884032 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 51884032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53077680).

51884032 is an abundant number, since it is smaller than the sum of its proper divisors (54271328).

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

51884032 is an equidigital number, since it uses as much as digits as its factorization.

51884032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 51884032 is about 7203.0571287475. The cubic root of 51884032 is about 372.9734400224.

The spelling of 51884032 in words is "fifty-one million, eight hundred eighty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 239 256 424 478 512 848 956 1024 1696 1912 2048 3392 3824 4096 6784 7648 12667 13568 15296 25334 27136 30592 50668 54272 61184 101336 108544 122368 202672 217088 244736 405344 489472 810688 978944 1621376 3242752 6485504 12971008 25942016 51884032