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51313152 = 293113037
BaseRepresentation
bin1100001110111…
…1101000000000
310120112222102010
43003233220000
5101114010102
65031452520
71162104012
oct303575000
9116488363
1051313152
1126a68370
1215227140
13a828017
146b5a1b2
154788d6c
hex30efa00

51313152 has 80 divisors (see below), whose sum is σ = 149177952. Its totient is φ = 15544320.

The previous prime is 51313127. The next prime is 51313159. The reversal of 51313152 is 25131315.

It is not an unprimeable number, because it can be changed into a prime (51313159) 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 7 ways as a sum of consecutive naturals, for example, 15378 + ... + 18414.

Almost surely, 251313152 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 51313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74588976).

51313152 is an abundant number, since it is smaller than the sum of its proper divisors (97864800).

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

51313152 is a wasteful number, since it uses less digits than its factorization.

51313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3053 counting only the distinct ones).

The product of its digits is 450, while the sum is 21.

The square root of 51313152 is about 7163.3199007164. The cubic root of 51313152 is about 371.6004497270.

Adding to 51313152 its reverse (25131315), we get a palindrome (76444467).

The spelling of 51313152 in words is "fifty-one million, three hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 3037 4224 5632 6074 8448 9111 12148 16896 18222 24296 33407 36444 48592 66814 72888 97184 100221 133628 145776 194368 200442 267256 291552 388736 400884 534512 583104 777472 801768 1069024 1166208 1554944 1603536 2138048 2332416 3207072 4276096 4664832 6414144 8552192 12828288 17104384 25656576 51313152