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42574532 = 2274111331
BaseRepresentation
bin1010001001101…
…0001011000100
32222010000021112
42202122023010
541344341112
64120304152
71024610000
oct242321304
988100245
1042574532
1122039970
1212312058
138a88640
145923700
153b0ea22
hex289a2c4

42574532 has 120 divisors (see below), whose sum is σ = 105407232. Its totient is φ = 14817600.

The previous prime is 42574517. The next prime is 42574537. The reversal of 42574532 is 23547524.

Its product of digits (33600) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (42574537) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1373357 + ... + 1373387.

Almost surely, 242574532 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 42574532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52703616).

42574532 is an abundant number, since it is smaller than the sum of its proper divisors (62832700).

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

42574532 is a wasteful number, since it uses less digits than its factorization.

42574532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its digits is 33600, while the sum is 32.

The square root of 42574532 is about 6524.9162446732. The cubic root of 42574532 is about 349.1804826155.

The spelling of 42574532 in words is "forty-two million, five hundred seventy-four thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 31 44 49 52 62 77 91 98 124 143 154 182 196 217 286 308 341 343 364 403 434 539 572 637 682 686 806 868 1001 1078 1274 1364 1372 1519 1612 2002 2156 2387 2401 2548 2821 3038 3773 4004 4433 4459 4774 4802 5642 6076 7007 7546 8866 8918 9548 9604 10633 11284 14014 15092 16709 17732 17836 19747 21266 26411 28028 31031 31213 33418 39494 42532 49049 52822 62062 62426 66836 74431 78988 98098 105644 116963 124124 124852 138229 148862 196196 217217 233926 276458 297724 343343 434434 467852 552916 686686 818741 868868 967603 1373372 1520519 1637482 1935206 3041038 3274964 3870412 6082076 10643633 21287266 42574532