Search a number
-
+
42156324 = 223271311277
BaseRepresentation
bin1010000011010…
…0000100100100
32221022202121100
42200310010210
541243000244
64103320100
71021215510
oct240640444
987282540
1042156324
1121883741
1212150030
138970192
145855140
153a7ab69
hex2834124

42156324 has 72 divisors (see below), whose sum is σ = 122810688. Its totient is φ = 11943360.

The previous prime is 42156313. The next prime is 42156347. The reversal of 42156324 is 42365124.

42156324 is a `hidden beast` number, since 4 + 21 + 5 + 632 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32374 + ... + 33650.

It is an arithmetic number, because the mean of its divisors is an integer number (1705704).

Almost surely, 242156324 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 42156324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61405344).

42156324 is an abundant number, since it is smaller than the sum of its proper divisors (80654364).

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

42156324 is a wasteful number, since it uses less digits than its factorization.

42156324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1420 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42156324 is about 6492.7901552414. The cubic root of 42156324 is about 348.0333895826.

The spelling of 42156324 in words is "forty-two million, one hundred fifty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 1179 1277 1572 1834 2358 2554 2751 3668 3831 4716 5108 5502 7662 8253 8939 11004 11493 15324 16506 17878 22986 26817 33012 35756 45972 53634 80451 107268 160902 167287 321804 334574 501861 669148 1003722 1171009 1505583 2007444 2342018 3011166 3513027 4684036 6022332 7026054 10539081 14052108 21078162 42156324