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51580640 = 2551791801
BaseRepresentation
bin1100010011000…
…0111011100000
310121001120100002
43010300323200
5101201040030
65041315132
71164266606
oct304607340
9117046302
1051580640
1127130331
1215335aa8
13a8bc9b7
146bc9876
1547dd245
hex3130ee0

51580640 has 48 divisors (see below), whose sum is σ = 122608080. Its totient is φ = 20505600.

The previous prime is 51580619. The next prime is 51580657. The reversal of 51580640 is 4608515.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27740 + ... + 29540.

It is an arithmetic number, because the mean of its divisors is an integer number (2554335).

Almost surely, 251580640 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 51580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61304040).

51580640 is an abundant number, since it is smaller than the sum of its proper divisors (71027440).

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

51580640 is a wasteful number, since it uses less digits than its factorization.

51580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 51580640 is about 7181.9663045715. The cubic root of 51580640 is about 372.2450306890.

The spelling of 51580640 in words is "fifty-one million, five hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 179 358 716 895 1432 1790 1801 2864 3580 3602 5728 7160 7204 9005 14320 14408 18010 28640 28816 36020 57632 72040 144080 288160 322379 644758 1289516 1611895 2579032 3223790 5158064 6447580 10316128 12895160 25790320 51580640