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51196032 = 2732192339
BaseRepresentation
bin1100001101001…
…1000010000000
310120100000202100
43003103002000
5101101233112
65025150400
71161105366
oct303230200
9116300670
1051196032
1126998378
121518b400
13a7b6914
146b29636
1547642dc
hex30d3080

51196032 has 96 divisors (see below), whose sum is σ = 155142000. Its totient is φ = 16160256.

The previous prime is 51196009. The next prime is 51196069. The reversal of 51196032 is 23069115.

51196032 is a `hidden beast` number, since 51 + 1 + 9 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 51195987 and 51196005.

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, 20719 + ... + 23057.

Almost surely, 251196032 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 51196032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77571000).

51196032 is an abundant number, since it is smaller than the sum of its proper divisors (103945968).

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

51196032 is a wasteful number, since it uses less digits than its factorization.

51196032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 51196032 is about 7155.1402501978. The cubic root of 51196032 is about 371.3175138243.

The spelling of 51196032 in words is "fifty-one million, one hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2339 2432 2736 3648 4678 5472 7017 7296 9356 10944 14034 18712 21051 21888 28068 37424 42102 44441 56136 74848 84204 88882 112272 133323 149696 168408 177764 224544 266646 299392 336816 355528 399969 449088 533292 673632 711056 799938 898176 1066584 1347264 1422112 1599876 2133168 2694528 2844224 3199752 4266336 5688448 6399504 8532672 12799008 17065344 25598016 51196032