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51397824 = 26323103113
BaseRepresentation
bin1100010000010…
…0010011000000
310120201021120010
43010010103000
5101124212244
65033344520
71162605612
oct304042300
9116637503
1051397824
1127015a45
1215268140
13a85771a
146b7cdb2
1547a3eb9
hex31044c0

51397824 has 112 divisors (see below), whose sum is σ = 144548352. Its totient is φ = 16084992.

The previous prime is 51397813. The next prime is 51397867. The reversal of 51397824 is 42879315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454792 + ... + 454904.

Almost surely, 251397824 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 51397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72274176).

51397824 is an abundant number, since it is smaller than the sum of its proper divisors (93150528).

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

51397824 is a wasteful number, since it uses less digits than its factorization.

51397824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 51397824 is about 7169.2275734559. The cubic root of 51397824 is about 371.8047304461.

The spelling of 51397824 in words is "fifty-one million, three hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 103 113 138 184 192 206 226 276 309 339 368 412 452 552 618 678 736 824 904 1104 1236 1356 1472 1648 1808 2208 2369 2472 2599 2712 3296 3616 4416 4738 4944 5198 5424 6592 7107 7232 7797 9476 9888 10396 10848 11639 14214 15594 18952 19776 20792 21696 23278 28428 31188 34917 37904 41584 46556 56856 62376 69834 75808 83168 93112 113712 124752 139668 151616 166336 186224 227424 249504 267697 279336 372448 454848 499008 535394 558672 744896 803091 1070788 1117344 1606182 2141576 2234688 3212364 4283152 6424728 8566304 12849456 17132608 25698912 51397824