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51276896 = 25112171941
BaseRepresentation
bin1100001110011…
…0110001100000
310120111010200022
43003212301200
5101111330041
65031013012
71161563216
oct303466140
9116433608
1051276896
1126a43100
121520a168
13a814678
146b4acb6
15477d24b
hex30e6c60

51276896 has 144 divisors (see below), whose sum is σ = 126690480. Its totient is φ = 20275200.

The previous prime is 51276893. The next prime is 51276899. The reversal of 51276896 is 69867215.

It is an interprime number because it is at equal distance from previous prime (51276893) and next prime (51276899).

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (181440) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51276893) 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 23 ways as a sum of consecutive naturals, for example, 1250636 + ... + 1250676.

It is an arithmetic number, because the mean of its divisors is an integer number (879795).

Almost surely, 251276896 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 51276896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63345240).

51276896 is an abundant number, since it is smaller than the sum of its proper divisors (75413584).

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

51276896 is a wasteful number, since it uses less digits than its factorization.

51276896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 51276896 is about 7160.7887833674. The cubic root of 51276896 is about 371.5129093354.

The spelling of 51276896 in words is "fifty-one million, two hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 19 22 32 34 38 41 44 68 76 82 88 121 136 152 164 176 187 209 242 272 304 323 328 352 374 418 451 484 544 608 646 656 697 748 779 836 902 968 1292 1312 1394 1496 1558 1672 1804 1936 2057 2299 2584 2788 2992 3116 3344 3553 3608 3872 4114 4598 4961 5168 5576 5984 6232 6688 7106 7216 7667 8228 8569 9196 9922 10336 11152 12464 13243 14212 14432 15334 16456 17138 18392 19844 22304 24928 26486 28424 30668 32912 34276 36784 39083 39688 52972 56848 61336 65824 68552 73568 78166 79376 84337 94259 105944 113696 122672 137104 145673 156332 158752 168674 188518 211888 245344 274208 291346 312664 337348 377036 423776 582692 625328 674696 754072 1165384 1250656 1349392 1508144 1602403 2330768 2698784 3016288 3204806 4661536 6409612 12819224 25638448 51276896