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51493536 = 2533107557
BaseRepresentation
bin1100010001101…
…1101010100000
310120220010212000
43010123222200
5101140243121
65035404000
71163454633
oct304335240
9116803760
1051493536
1127080946
12152b3600
13a88c163
146ba5c1a
1547c2526
hex311baa0

51493536 has 96 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 16973568.

The previous prime is 51493487. The next prime is 51493549. The reversal of 51493536 is 63539415.

51493536 is a `hidden beast` number, since 514 + 93 + 53 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51493536.

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, 92170 + ... + 92726.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 251493536 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 51493536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

51493536 is an abundant number, since it is smaller than the sum of its proper divisors (100371744).

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

51493536 is a wasteful number, since it uses less digits than its factorization.

51493536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 669 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 51493536 is about 7175.8996648504. The cubic root of 51493536 is about 372.0353764484.

The spelling of 51493536 in words is "fifty-one million, four hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 107 108 144 214 216 288 321 428 432 557 642 856 864 963 1114 1284 1671 1712 1926 2228 2568 2889 3342 3424 3852 4456 5013 5136 5778 6684 7704 8912 10026 10272 11556 13368 15039 15408 17824 20052 23112 26736 30078 30816 40104 46224 53472 59599 60156 80208 92448 119198 120312 160416 178797 238396 240624 357594 476792 481248 536391 715188 953584 1072782 1430376 1609173 1907168 2145564 2860752 3218346 4291128 5721504 6436692 8582256 12873384 17164512 25746768 51493536