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52034112 = 2632136949
BaseRepresentation
bin1100011001111…
…1101001000000
310121220121101100
43012133221000
5101310042422
65055134400
71201165644
oct306375100
9117817340
1052034112
112740aaa9
1215514400
13aa1b220
146ca6c24
15487c7ac
hex319fa40

52034112 has 84 divisors (see below), whose sum is σ = 160642300. Its totient is φ = 16008192.

The previous prime is 52034053. The next prime is 52034113. The reversal of 52034112 is 21143025.

52034112 is a `hidden beast` number, since 520 + 34 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 25160256 = 5184^2 + 5016^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (52034113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4014 + ... + 10962.

Almost surely, 252034112 is an apocalyptic number.

52034112 is a gapful number since it is divisible by the number (52) 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 52034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80321150).

52034112 is an abundant number, since it is smaller than the sum of its proper divisors (108608188).

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

52034112 is a wasteful number, since it uses less digits than its factorization.

52034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980 (or 6967 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52034112 is about 7213.4674047922. The cubic root of 52034112 is about 373.3327154185.

Adding to 52034112 its reverse (21143025), we get a palindrome (73177137).

The spelling of 52034112 in words is "fifty-two million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 6949 7488 13898 20847 27796 41694 55592 62541 83388 90337 111184 125082 166776 180674 222368 250164 271011 333552 361348 444736 500328 542022 667104 722696 813033 1000656 1084044 1334208 1445392 1626066 2001312 2168088 2890784 3252132 4002624 4336176 5781568 6504264 8672352 13008528 17344704 26017056 52034112