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42538572 = 22323147811
BaseRepresentation
bin1010001001000…
…1011001001100
32222001011221200
42202101121030
541342213242
64115425500
71024400106
oct242213114
988034850
1042538572
112201494a
12122b5290
138a7516b
145914576
153b0404c
hex289164c

42538572 has 72 divisors (see below), whose sum is σ = 113498112. Its totient is φ = 13413600.

The previous prime is 42538571. The next prime is 42538583. The reversal of 42538572 is 27583524.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42538571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52047 + ... + 52857.

Almost surely, 242538572 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 42538572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56749056).

42538572 is an abundant number, since it is smaller than the sum of its proper divisors (70959540).

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

42538572 is a wasteful number, since it uses less digits than its factorization.

42538572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 894 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 42538572 is about 6522.1600716327. The cubic root of 42538572 is about 349.0821447403.

The spelling of 42538572 in words is "forty-two million, five hundred thirty-eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 372 423 558 564 811 846 1116 1457 1622 1692 2433 2914 3244 4371 4866 5828 7299 8742 9732 13113 14598 17484 25141 26226 29196 38117 50282 52452 75423 76234 100564 114351 150846 152468 226269 228702 301692 343053 452538 457404 686106 905076 1181627 1372212 2363254 3544881 4726508 7089762 10634643 14179524 21269286 42538572