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42056424 = 23321971433
BaseRepresentation
bin1010000001101…
…1101011101000
32221010200120100
42200123223220
541231301144
64101225400
71020321324
oct240335350
987120510
1042056424
1121815683
1212102260
138936877
14582a984
153a5b269
hex281bae8

42056424 has 96 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 13063680.

The previous prime is 42056423. The next prime is 42056449. The reversal of 42056424 is 42465024.

It is not an unprimeable number, because it can be changed into a prime (42056423) 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, 96912 + ... + 97344.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 242056424 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 42056424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

42056424 is an abundant number, since it is smaller than the sum of its proper divisors (79810776).

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

42056424 is a wasteful number, since it uses less digits than its factorization.

42056424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42056424 is about 6485.0924434429. The cubic root of 42056424 is about 347.7582546183.

The spelling of 42056424 in words is "forty-two million, fifty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 71 72 76 114 142 152 171 213 228 284 342 426 433 456 568 639 684 852 866 1278 1299 1349 1368 1704 1732 2556 2598 2698 3464 3897 4047 5112 5196 5396 7794 8094 8227 10392 10792 12141 15588 16188 16454 24282 24681 30743 31176 32376 32908 48564 49362 61486 65816 74043 92229 97128 98724 122972 148086 184458 197448 245944 276687 296172 368916 553374 584117 592344 737832 1106748 1168234 1752351 2213496 2336468 3504702 4672936 5257053 7009404 10514106 14018808 21028212 42056424