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52466112 = 2632791153
BaseRepresentation
bin1100100000100…
…1000111000000
310122201112222100
43020021013000
5101412403422
65112310400
71204645266
oct310110700
9118645870
1052466112
1127685626
12156a2400
13ab3ca4a
146d7a436
1549157ac
hex32091c0

52466112 has 84 divisors (see below), whose sum is σ = 152420320. Its totient is φ = 17252352.

The previous prime is 52466093. The next prime is 52466119. The reversal of 52466112 is 21166425.

52466112 is a `hidden beast` number, since 5 + 2 + 46 + 611 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52466119) 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, 44928 + ... + 46080.

Almost surely, 252466112 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 52466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76210160).

52466112 is an abundant number, since it is smaller than the sum of its proper divisors (99954208).

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

52466112 is a wasteful number, since it uses less digits than its factorization.

52466112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1237 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 52466112 is about 7243.3495014392. The cubic root of 52466112 is about 374.3630360176.

The spelling of 52466112 in words is "fifty-two million, four hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 237 288 316 474 576 632 711 948 1153 1264 1422 1896 2306 2528 2844 3459 3792 4612 5056 5688 6918 7584 9224 10377 11376 13836 15168 18448 20754 22752 27672 36896 41508 45504 55344 73792 83016 91087 110688 166032 182174 221376 273261 332064 364348 546522 664128 728696 819783 1093044 1457392 1639566 2186088 2914784 3279132 4372176 5829568 6558264 8744352 13116528 17488704 26233056 52466112