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42522408 = 2334211311
BaseRepresentation
bin1010001000110…
…1011100101000
32222000100210000
42202031130220
541341204113
64115223000
71024302015
oct242153450
988010700
1042522408
1122003795
12122a7a60
138a6a9b6
14590c70c
153aee373
hex288d728

42522408 has 80 divisors (see below), whose sum is σ = 120051360. Its totient is φ = 14061600.

The previous prime is 42522407. The next prime is 42522413. The reversal of 42522408 is 80422524.

It is a happy number.

42522408 is a `hidden beast` number, since 4 + 252 + 2 + 408 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42522407) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 136573 + ... + 136883.

It is an arithmetic number, because the mean of its divisors is an integer number (1500642).

Almost surely, 242522408 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 42522408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60025680).

42522408 is an abundant number, since it is smaller than the sum of its proper divisors (77528952).

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

42522408 is a wasteful number, since it uses less digits than its factorization.

42522408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42522408 is about 6520.9207938757. The cubic root of 42522408 is about 349.0379238652.

The spelling of 42522408 in words is "forty-two million, five hundred twenty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 211 216 311 324 422 622 633 648 844 933 1244 1266 1688 1866 1899 2488 2532 2799 3732 3798 5064 5598 5697 7464 7596 8397 11196 11394 15192 16794 17091 22392 22788 25191 33588 34182 45576 50382 65621 67176 68364 100764 131242 136728 196863 201528 262484 393726 524968 590589 787452 1181178 1574904 1771767 2362356 3543534 4724712 5315301 7087068 10630602 14174136 21261204 42522408