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42330492 = 22331672347
BaseRepresentation
bin1010000101111…
…0100101111100
32221122121112000
42201132211330
541314033432
64111142300
71022542341
oct241364574
987577460
1042330492
1121992586
1212214990
138a01539
14589c7c8
153ab257c
hex285e97c

42330492 has 48 divisors (see below), whose sum is σ = 110449920. Its totient is φ = 14019696.

The previous prime is 42330487. The next prime is 42330551. The reversal of 42330492 is 29403324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16863 + ... + 19209.

It is an arithmetic number, because the mean of its divisors is an integer number (2301040).

Almost surely, 242330492 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 42330492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55224960).

42330492 is an abundant number, since it is smaller than the sum of its proper divisors (68119428).

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

42330492 is a wasteful number, since it uses less digits than its factorization.

42330492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 42330492 is about 6506.1887461094. The cubic root of 42330492 is about 348.5120286607.

The spelling of 42330492 in words is "forty-two million, three hundred thirty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 167 334 501 668 1002 1503 2004 2347 3006 4509 4694 6012 7041 9018 9388 14082 18036 21123 28164 42246 63369 84492 126738 253476 391949 783898 1175847 1567796 2351694 3527541 4703388 7055082 10582623 14110164 21165246 42330492