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51435396 = 223243149223
BaseRepresentation
bin1100010000110…
…1011110000100
310120210012002200
43010031132010
5101131413041
65034234500
71163123265
oct304153604
9116705080
1051435396
11270411a1
1215285a30
13a86b85c
146b8c96c
1547b01b6
hex310d784

51435396 has 72 divisors (see below), whose sum is σ = 134534400. Its totient is φ = 16559424.

The previous prime is 51435389. The next prime is 51435403. The reversal of 51435396 is 69353415.

51435396 is a `hidden beast` number, since 514 + 3 + 53 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (51435389) and next prime (51435403).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51435396.

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, 230541 + ... + 230763.

Almost surely, 251435396 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 51435396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67267200).

51435396 is an abundant number, since it is smaller than the sum of its proper divisors (83099004).

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

51435396 is a wasteful number, since it uses less digits than its factorization.

51435396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 420 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 51435396 is about 7171.8474607314. The cubic root of 51435396 is about 371.8953052585.

The spelling of 51435396 in words is "fifty-one million, four hundred thirty-five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 149 172 223 258 298 387 446 447 516 596 669 774 892 894 1338 1341 1548 1788 2007 2676 2682 4014 5364 6407 8028 9589 12814 19178 19221 25628 28767 33227 38356 38442 57534 57663 66454 76884 86301 99681 115068 115326 132908 172602 199362 230652 299043 345204 398724 598086 1196172 1428761 2857522 4286283 5715044 8572566 12858849 17145132 25717698 51435396