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42248952 = 2335103211
BaseRepresentation
bin1010000100101…
…0101011111000
32221111110200000
42201022223320
541303431302
64105313000
71022052534
oct241125370
987443600
1042248952
1121937299
1212195760
1389a33a5
14587abc4
153a9831c
hex284aaf8

42248952 has 96 divisors (see below), whose sum is σ = 120382080. Its totient is φ = 13880160.

The previous prime is 42248929. The next prime is 42248971. The reversal of 42248952 is 25984224.

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

It is a congruent number.

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, 200127 + ... + 200337.

It is an arithmetic number, because the mean of its divisors is an integer number (1253980).

Almost surely, 242248952 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 42248952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60191040).

42248952 is an abundant number, since it is smaller than the sum of its proper divisors (78133128).

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

42248952 is a wasteful number, since it uses less digits than its factorization.

42248952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42248952 is about 6499.9193841155. The cubic root of 42248952 is about 348.2881086152.

The spelling of 42248952 in words is "forty-two million, two hundred forty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 211 216 243 309 324 412 422 486 618 633 648 824 844 927 972 1236 1266 1688 1854 1899 1944 2472 2532 2781 3708 3798 5064 5562 5697 7416 7596 8343 11124 11394 15192 16686 17091 21733 22248 22788 25029 33372 34182 43466 45576 50058 51273 65199 66744 68364 86932 100116 102546 130398 136728 173864 195597 200232 205092 260796 391194 410184 521592 586791 782388 1173582 1564776 1760373 2347164 3520746 4694328 5281119 7041492 10562238 14082984 21124476 42248952