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42141008 = 24713103281
BaseRepresentation
bin1010000011000…
…0010101010000
32221021222121002
42200300111100
541242003013
64103121132
71021123040
oct240602520
987258532
1042141008
1121873188
12121431a8
138966210
14584d720
153a76358
hex2830550

42141008 has 80 divisors (see below), whose sum is σ = 101826816. Its totient is φ = 16450560.

The previous prime is 42140957. The next prime is 42141017. The reversal of 42141008 is 80014124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149828 + ... + 150108.

Almost surely, 242141008 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 42141008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50913408).

42141008 is an abundant number, since it is smaller than the sum of its proper divisors (59685808).

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

42141008 is a wasteful number, since it uses less digits than its factorization.

42141008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 42141008 is about 6491.6105859794. The cubic root of 42141008 is about 347.9912359620.

The spelling of 42141008 in words is "forty-two million, one hundred forty-one thousand, eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 103 104 112 182 206 208 281 364 412 562 721 728 824 1124 1339 1442 1456 1648 1967 2248 2678 2884 3653 3934 4496 5356 5768 7306 7868 9373 10712 11536 14612 15736 18746 21424 25571 28943 29224 31472 37492 51142 57886 58448 74984 102284 115772 149968 202601 204568 231544 376259 405202 409136 463088 752518 810404 1505036 1620808 2633813 3010072 3241616 5267626 6020144 10535252 21070504 42141008