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51190672 = 24131731467
BaseRepresentation
bin1100001101000…
…1101110010000
310120022202101211
43003101232100
5101101100142
65025105504
71161053641
oct303215620
9116282354
1051190672
1126994345
1215188294
13a7b4350
146b276c8
154762917
hex30d1b90

51190672 has 80 divisors (see below), whose sum is σ = 116992512. Its totient is φ = 21473280.

The previous prime is 51190609. The next prime is 51190679. The reversal of 51190672 is 27609115.

It is a super-3 number, since 3×511906723 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (51190679) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 109383 + ... + 109849.

Almost surely, 251190672 is an apocalyptic number.

51190672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51190672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

51190672 is an abundant number, since it is smaller than the sum of its proper divisors (65801840).

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

51190672 is a wasteful number, since it uses less digits than its factorization.

51190672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 51190672 is about 7154.7656844931. The cubic root of 51190672 is about 371.3045549337.

Adding to 51190672 its reverse (27609115), we get a palindrome (78799787).

The spelling of 51190672 in words is "fifty-one million, one hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 31 34 52 62 68 104 124 136 208 221 248 272 403 442 467 496 527 806 884 934 1054 1612 1768 1868 2108 3224 3536 3736 4216 6071 6448 6851 7472 7939 8432 12142 13702 14477 15878 24284 27404 28954 31756 48568 54808 57908 63512 97136 103207 109616 115816 127024 188201 206414 231632 246109 376402 412828 492218 752804 825656 984436 1505608 1651312 1968872 3011216 3199417 3937744 6398834 12797668 25595336 51190672