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51276672 = 273337401
BaseRepresentation
bin1100001110011…
…0101110000000
310120111010101000
43003212232000
5101111323142
65031012000
71161562446
oct303465600
9116433330
1051276672
1126a42a17
121520a000
13a814535
146b4ab96
15477d14c
hex30e6b80

51276672 has 128 divisors (see below), whose sum is σ = 155815200. Its totient is φ = 16588800.

The previous prime is 51276629. The next prime is 51276677. The reversal of 51276672 is 27667215.

51276672 is a `hidden beast` number, since 512 + 76 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51276677) 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, 127672 + ... + 128072.

Almost surely, 251276672 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 51276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77907600).

51276672 is an abundant number, since it is smaller than the sum of its proper divisors (104538528).

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

51276672 is a wasteful number, since it uses less digits than its factorization.

51276672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 443 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 51276672 is about 7160.7731426153. The cubic root of 51276672 is about 371.5123683574.

The spelling of 51276672 in words is "fifty-one million, two hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 401 432 444 576 592 666 802 864 888 999 1152 1184 1203 1332 1604 1728 1776 1998 2368 2406 2664 3208 3456 3552 3609 3996 4736 4812 5328 6416 7104 7218 7992 9624 10656 10827 12832 14208 14436 14837 15984 19248 21312 21654 25664 28872 29674 31968 38496 42624 43308 44511 51328 57744 59348 63936 76992 86616 89022 115488 118696 127872 133533 153984 173232 178044 230976 237392 267066 346464 356088 400599 461952 474784 534132 692928 712176 801198 949568 1068264 1385856 1424352 1602396 1899136 2136528 2848704 3204792 4273056 5697408 6409584 8546112 12819168 17092224 25638336 51276672