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51363072 = 28342477
BaseRepresentation
bin1100001111101…
…1110100000000
310120122111220000
43003323310000
5101122104242
65032520000
71162402365
oct303736400
9116574800
1051363072
1126aa1922
1215250000
13a844967
146b7046c
154798a4c
hex30fbd00

51363072 has 90 divisors (see below), whose sum is σ = 153217218. Its totient is φ = 17114112.

The previous prime is 51363047. The next prime is 51363073. The reversal of 51363072 is 27036315.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 7485696 = 6624^2 + 2736^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51363073) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19498 + ... + 21974.

Almost surely, 251363072 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 51363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608609).

51363072 is an abundant number, since it is smaller than the sum of its proper divisors (101854146).

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

51363072 is an equidigital number, since it uses as much as digits as its factorization.

51363072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 51363072 is about 7166.8034715625. The cubic root of 51363072 is about 371.7209145034.

Adding to 51363072 its reverse (27036315), we get a palindrome (78399387).

The spelling of 51363072 in words is "fifty-one million, three hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2477 2592 3456 4954 5184 6912 7431 9908 10368 14862 19816 20736 22293 29724 39632 44586 59448 66879 79264 89172 118896 133758 158528 178344 200637 237792 267516 317056 356688 401274 475584 535032 634112 713376 802548 951168 1070064 1426752 1605096 1902336 2140128 2853504 3210192 4280256 5707008 6420384 8560512 12840768 17121024 25681536 51363072