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51194024 = 2372731789
BaseRepresentation
bin1100001101001…
…0100010101000
310120022220222222
43003102202220
5101101202044
65025133212
71161066500
oct303224250
9116286888
1051194024
1126996912
121518a208
13a7b5a2b
146b28a00
1547638ee
hex30d28a8

51194024 has 48 divisors (see below), whose sum is σ = 113253300. Its totient is φ = 21627648.

The previous prime is 51193993. The next prime is 51194041. The reversal of 51194024 is 42049115.

51194024 = T437 + T438 + ... + T730.

It is a Cunningham number, because it is equal to 71552-1.

It can be written as a sum of positive squares in 2 ways, for example, as 46485124 + 4708900 = 6818^2 + 2170^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51193984 and 51194002.

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, 27722 + ... + 29510.

Almost surely, 251194024 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 51194024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56626650).

51194024 is an abundant number, since it is smaller than the sum of its proper divisors (62059276).

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

51194024 is a wasteful number, since it uses less digits than its factorization.

51194024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 51194024 is about 7154.9999301188. Note that the first 4 decimals coincide. The cubic root of 51194024 is about 371.3126591817.

The spelling of 51194024 in words is "fifty-one million, one hundred ninety-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 392 511 584 1022 1789 2044 3577 3578 4088 7154 7156 12523 14308 14312 25046 28616 50092 87661 100184 130597 175322 261194 350644 522388 701288 914179 1044776 1828358 3656716 6399253 7313432 12798506 25597012 51194024