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51341952 = 2731931227
BaseRepresentation
bin1100001111011…
…0101010000000
310120121102220210
43003312222000
5101120420302
65032234120
71162253664
oct303665200
9116542823
1051341952
1126a87a72
121523b940
13a83816c
146b668a4
15479266c
hex30f6a80

51341952 has 128 divisors (see below), whose sum is σ = 148838400. Its totient is φ = 15621120.

The previous prime is 51341947. The next prime is 51341981. The reversal of 51341952 is 25914315.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 226063 + ... + 226289.

It is an arithmetic number, because the mean of its divisors is an integer number (1162800).

Almost surely, 251341952 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 51341952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74419200).

51341952 is an abundant number, since it is smaller than the sum of its proper divisors (97496448).

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

51341952 is a wasteful number, since it uses less digits than its factorization.

51341952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 51341952 is about 7165.3298598180. The cubic root of 51341952 is about 371.6699581665.

The spelling of 51341952 in words is "fifty-one million, three hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 227 228 248 304 372 384 454 456 496 589 608 681 744 908 912 992 1178 1216 1362 1488 1767 1816 1824 1984 2356 2432 2724 2976 3534 3632 3648 3968 4313 4712 5448 5952 7037 7068 7264 7296 8626 9424 10896 11904 12939 14074 14136 14528 17252 18848 21111 21792 25878 28148 28272 29056 34504 37696 42222 43584 51756 56296 56544 69008 75392 84444 87168 103512 112592 113088 133703 138016 168888 207024 225184 226176 267406 276032 337776 401109 414048 450368 534812 552064 675552 802218 828096 900736 1069624 1351104 1604436 1656192 2139248 2702208 3208872 4278496 6417744 8556992 12835488 17113984 25670976 51341952