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42472892 = 22711373727
BaseRepresentation
bin1010001000000…
…1010110111100
32221220211212002
42202001112330
541333113032
64114201432
71024004450
oct242012674
987824762
1042472892
1121a7a570
1212283278
138a512b7
1458d8660
153ade862
hex28815bc

42472892 has 48 divisors (see below), whose sum is σ = 95198208. Its totient is φ = 16096320.

The previous prime is 42472879. The next prime is 42472967. The reversal of 42472892 is 29827424.

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, 9533 + ... + 13259.

It is an arithmetic number, because the mean of its divisors is an integer number (1983296).

Almost surely, 242472892 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 42472892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47599104).

42472892 is an abundant number, since it is smaller than the sum of its proper divisors (52725316).

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

42472892 is a wasteful number, since it uses less digits than its factorization.

42472892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3784 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 42472892 is about 6517.1229848761. The cubic root of 42472892 is about 348.9023900335.

The spelling of 42472892 in words is "forty-two million, four hundred seventy-two thousand, eight hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 407 518 814 1036 1628 2849 3727 5698 7454 11396 14908 26089 40997 52178 81994 104356 137899 163988 275798 286979 551596 573958 965293 1147916 1516889 1930586 3033778 3861172 6067556 10618223 21236446 42472892