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51107712 = 273177829
BaseRepresentation
bin1100001011110…
…1011110000000
310120011112121020
43002331132000
5101040421322
65023225440
71160260035
oct302753600
9116145536
1051107712
1126937a87
1215148280
13a785666
146b0538c
15474805c
hex30bd780

51107712 has 64 divisors (see below), whose sum is σ = 143758800. Its totient is φ = 16031744.

The previous prime is 51107711. The next prime is 51107737. The reversal of 51107712 is 21770115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×511077122 = 5223996451749888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51107711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2614 + ... + 10442.

Almost surely, 251107712 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 51107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71879400).

51107712 is an abundant number, since it is smaller than the sum of its proper divisors (92651088).

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

51107712 is a wasteful number, since it uses less digits than its factorization.

51107712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7863 (or 7851 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 51107712 is about 7148.9657993307. The cubic root of 51107712 is about 371.1038668020.

Adding to 51107712 its reverse (21770115), we get a palindrome (72877827).

The spelling of 51107712 in words is "fifty-one million, one hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 7829 15658 23487 31316 46974 62632 93948 125264 133093 187896 250528 266186 375792 399279 501056 532372 751584 798558 1002112 1064744 1503168 1597116 2129488 3006336 3194232 4258976 6388464 8517952 12776928 17035904 25553856 51107712