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52430112 = 253378669
BaseRepresentation
bin1100100000000…
…0010100100000
310122122201121000
43020000110200
5101410230422
65111432000
71204435320
oct310002440
9118581530
1052430112
1127660579
1215685600
13ab29547
146d6b280
154909cac
hex3200520

52430112 has 96 divisors (see below), whose sum is σ = 174787200. Its totient is φ = 14978304.

The previous prime is 52430111. The next prime is 52430129. The reversal of 52430112 is 21103425.

52430112 is a `hidden beast` number, since 524 + 30 + 112 = 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 (18).

It is not an unprimeable number, because it can be changed into a prime (52430111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1714 + ... + 10382.

It is an arithmetic number, because the mean of its divisors is an integer number (1820700).

Almost surely, 252430112 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 52430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87393600).

52430112 is an abundant number, since it is smaller than the sum of its proper divisors (122357088).

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

52430112 is a wasteful number, since it uses less digits than its factorization.

52430112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8695 (or 8681 counting only the distinct ones).

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

The square root of 52430112 is about 7240.8640368398. The cubic root of 52430112 is about 374.2773924633.

Adding to 52430112 its reverse (21103425), we get a palindrome (73533537).

The spelling of 52430112 in words is "fifty-two million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 8669 17338 26007 34676 52014 60683 69352 78021 104028 121366 138704 156042 182049 208056 234063 242732 277408 312084 364098 416112 468126 485464 546147 624168 728196 832224 936252 970928 1092294 1248336 1456392 1638441 1872504 1941856 2184588 2496672 2912784 3276882 3745008 4369176 5825568 6553764 7490016 8738352 13107528 17476704 26215056 52430112