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42040656 = 24327179233
BaseRepresentation
bin1010000001011…
…1110101010000
32221002212221100
42200113311100
541230300111
64101024400
71020224340
oct240276520
987085840
1042040656
1121804849
12120b5100
13892c638
145824d20
153a56756
hex2817d50

42040656 has 120 divisors (see below), whose sum is σ = 135794880. Its totient is φ = 11893248.

The previous prime is 42040637. The next prime is 42040667. The reversal of 42040656 is 65604024.

It is a happy number.

42040656 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 0 + 656 = 666.

It is a zygodrome in base 4.

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 23 ways as a sum of consecutive naturals, for example, 180316 + ... + 180548.

It is an arithmetic number, because the mean of its divisors is an integer number (1131624).

Almost surely, 242040656 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 42040656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67897440).

42040656 is an abundant number, since it is smaller than the sum of its proper divisors (93754224).

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

42040656 is a wasteful number, since it uses less digits than its factorization.

42040656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42040656 is about 6483.8766181969. The cubic root of 42040656 is about 347.7147881109.

The spelling of 42040656 in words is "forty-two million, forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 179 233 252 336 358 466 504 537 699 716 932 1008 1074 1253 1398 1432 1611 1631 1864 2097 2148 2506 2796 2864 3222 3262 3728 3759 4194 4296 4893 5012 5592 6444 6524 7518 8388 8592 9786 10024 11184 11277 12888 13048 14679 15036 16776 19572 20048 22554 25776 26096 29358 30072 33552 39144 41707 45108 58716 60144 78288 83414 90216 117432 125121 166828 180432 234864 250242 291949 333656 375363 500484 583898 667312 750726 875847 1000968 1167796 1501452 1751694 2001936 2335592 2627541 3002904 3503388 4671184 5255082 6005808 7006776 10510164 14013552 21020328 42040656