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51430644 = 223217194423
BaseRepresentation
bin1100010000110…
…0010011110100
310120202221120200
43010030103310
5101131240034
65034200500
71163103366
oct304142364
9116687520
1051430644
1127038671
1215283130
13a869645
146b8ad36
1547ada99
hex310c4f4

51430644 has 72 divisors (see below), whose sum is σ = 144930240. Its totient is φ = 15282432.

The previous prime is 51430637. The next prime is 51430657. The reversal of 51430644 is 44603415.

51430644 is a `hidden beast` number, since 5 + 14 + 3 + 0 + 644 = 666.

It is a super-2 number, since 2×514306442 = 5290222284509472, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 9417 + ... + 13839.

It is an arithmetic number, because the mean of its divisors is an integer number (2012920).

Almost surely, 251430644 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 51430644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72465120).

51430644 is an abundant number, since it is smaller than the sum of its proper divisors (93499596).

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

51430644 is a wasteful number, since it uses less digits than its factorization.

51430644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 51430644 is about 7171.5161576894. The cubic root of 51430644 is about 371.8838520502.

The spelling of 51430644 in words is "fifty-one million, four hundred thirty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 4423 5814 8846 11628 13269 17692 26538 39807 53076 75191 79614 84037 150382 159228 168074 225573 252111 300764 336148 451146 504222 676719 756333 902292 1008444 1353438 1428629 1512666 2706876 2857258 3025332 4285887 5714516 8571774 12857661 17143548 25715322 51430644