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42402744 = 23331091801
BaseRepresentation
bin1010000111000…
…0001110111000
32221210021122000
42201300032320
541323341434
64112501000
71023263106
oct241601670
987707560
1042402744
1121a3189a
121224a760
138a283a7
1458bac76
153ac8b99
hex28703b8

42402744 has 64 divisors (see below), whose sum is σ = 118932000. Its totient is φ = 13996800.

The previous prime is 42402719. The next prime is 42402797. The reversal of 42402744 is 44720424.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22644 + ... + 24444.

Almost surely, 242402744 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 42402744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59466000).

42402744 is an abundant number, since it is smaller than the sum of its proper divisors (76529256).

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

42402744 is a wasteful number, since it uses less digits than its factorization.

42402744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 42402744 is about 6511.7389382560. The cubic root of 42402744 is about 348.7102024190.

The spelling of 42402744 in words is "forty-two million, four hundred two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 109 216 218 327 436 654 872 981 1308 1801 1962 2616 2943 3602 3924 5403 5886 7204 7848 10806 11772 14408 16209 21612 23544 32418 43224 48627 64836 97254 129672 194508 196309 389016 392618 588927 785236 1177854 1570472 1766781 2355708 3533562 4711416 5300343 7067124 10600686 14134248 21201372 42402744