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51131696 = 2474113
BaseRepresentation
bin1100001100001…
…1010100110000
310120012202111112
43003003110300
5101042203241
65023532452
71160420000
oct303032460
9116182445
1051131696
1126954000
121515a128
13a793555
146b10000
1547501eb
hex30c3530

51131696 has 100 divisors (see below), whose sum is σ = 127120584. Its totient is φ = 19921440.

The previous prime is 51131693. The next prime is 51131719. The reversal of 51131696 is 69613115.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×511316962 = 5228900671672832, which contains 22 as substring.

Its product of digits (4860) is a multiple of the sum of its prime divisors (20).

It is not an unprimeable number, because it can be changed into a prime (51131693) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4648331 + ... + 4648341.

Almost surely, 251131696 is an apocalyptic number.

51131696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51131696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63560292).

51131696 is an abundant number, since it is smaller than the sum of its proper divisors (75988888).

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

51131696 is an frugal number, since it uses more digits than its factorization.

51131696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 20 counting only the distinct ones).

The product of its digits is 4860, while the sum is 32.

The square root of 51131696 is about 7150.6430480062. The cubic root of 51131696 is about 371.1619086830.

The spelling of 51131696 in words is "fifty-one million, one hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 343 392 484 539 616 686 784 847 968 1078 1232 1331 1372 1694 1936 2156 2401 2662 2744 3388 3773 4312 4802 5324 5488 5929 6776 7546 8624 9317 9604 10648 11858 13552 15092 18634 19208 21296 23716 26411 30184 37268 38416 41503 47432 52822 60368 65219 74536 83006 94864 105644 130438 149072 166012 211288 260876 290521 332024 422576 456533 521752 581042 664048 913066 1043504 1162084 1826132 2324168 3195731 3652264 4648336 6391462 7304528 12782924 25565848 51131696