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51496896 = 2631137659
BaseRepresentation
bin1100010001110…
…0011111000000
310120220022110110
43010130133000
5101140400041
65035431320
71163500503
oct304343700
9116808413
1051496896
1127083420
12152b5540
13a890849
146ba713a
1547c3516
hex311c7c0

51496896 has 112 divisors (see below), whose sum is σ = 152887680. Its totient is φ = 15160320.

The previous prime is 51496883. The next prime is 51496909. The reversal of 51496896 is 69869415.

It is an interprime number because it is at equal distance from previous prime (51496883) and next prime (51496909).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 77815 + ... + 78473.

Almost surely, 251496896 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 51496896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76443840).

51496896 is an abundant number, since it is smaller than the sum of its proper divisors (101390784).

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

51496896 is a wasteful number, since it uses less digits than its factorization.

51496896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 712 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 51496896 is about 7176.1337780172. The cubic root of 51496896 is about 372.0434681545.

The spelling of 51496896 in words is "fifty-one million, four hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 132 148 176 192 222 264 296 352 407 444 528 592 659 704 814 888 1056 1184 1221 1318 1628 1776 1977 2112 2368 2442 2636 3256 3552 3954 4884 5272 6512 7104 7249 7908 9768 10544 13024 14498 15816 19536 21088 21747 24383 26048 28996 31632 39072 42176 43494 48766 57992 63264 73149 78144 86988 97532 115984 126528 146298 173976 195064 231968 268213 292596 347952 390128 463936 536426 585192 695904 780256 804639 1072852 1170384 1391808 1560512 1609278 2145704 2340768 3218556 4291408 4681536 6437112 8582816 12874224 17165632 25748448 51496896