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51162048 = 2632712689
BaseRepresentation
bin1100001100101…
…0101111000000
310120021022010200
43003022233000
5101044141143
65024325200
71160604330
oct303125700
9116238120
1051162048
1126974893
1215173800
13a7a4302
146b1b0c0
1547591d3
hex30cabc0

51162048 has 84 divisors (see below), whose sum is σ = 167609520. Its totient is φ = 14616576.

The previous prime is 51162037. The next prime is 51162049. The reversal of 51162048 is 84026115.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×511620483 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51162049) 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 11 ways as a sum of consecutive naturals, for example, 2313 + ... + 10376.

Almost surely, 251162048 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 51162048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83804760).

51162048 is an abundant number, since it is smaller than the sum of its proper divisors (116447472).

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

51162048 is a wasteful number, since it uses less digits than its factorization.

51162048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12714 (or 12701 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51162048 is about 7152.7650597514. The cubic root of 51162048 is about 371.2353352708.

The spelling of 51162048 in words is "fifty-one million, one hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 12689 25378 38067 50756 76134 88823 101512 114201 152268 177646 203024 228402 266469 304536 355292 406048 456804 532938 609072 710584 799407 812096 913608 1065876 1218144 1421168 1598814 1827216 2131752 2436288 2842336 3197628 3654432 4263504 5684672 6395256 7308864 8527008 12790512 17054016 25581024 51162048