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51158430 = 23252232549
BaseRepresentation
bin1100001100100…
…1110110011110
310120021010011200
43003021312132
5101044032210
65024300330
71160560641
oct303116636
9116233150
1051158430
11269720a4
12151716a6
13a7a277b
146b19a58
1547580c0
hex30c9d9e

51158430 has 48 divisors (see below), whose sum is σ = 133660800. Its totient is φ = 13575744.

The previous prime is 51158413. The next prime is 51158441. The reversal of 51158430 is 3485115.

51158430 is a `hidden beast` number, since 51 + 1 + 584 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51158394 and 51158403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18796 + ... + 21344.

It is an arithmetic number, because the mean of its divisors is an integer number (2784600).

Almost surely, 251158430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51158430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

51158430 is an abundant number, since it is smaller than the sum of its proper divisors (82502370).

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

51158430 is a wasteful number, since it uses less digits than its factorization.

51158430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 51158430 is about 7152.5121460924. The cubic root of 51158430 is about 371.2265842457.

The spelling of 51158430 in words is "fifty-one million, one hundred fifty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1115 1338 2007 2230 2549 3345 4014 5098 6690 7647 10035 12745 15294 20070 22941 25490 38235 45882 76470 114705 229410 568427 1136854 1705281 2842135 3410562 5115843 5684270 8526405 10231686 17052810 25579215 51158430