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42574656 = 2632331311
BaseRepresentation
bin1010001001101…
…0001101000000
32222010000110010
42202122031000
541344342111
64120304520
71024610235
oct242321500
988100403
1042574656
1122039a73
1212312140
138a88707
14592378c
153b0eaa6
hex289a340

42574656 has 112 divisors (see below), whose sum is σ = 121724928. Its totient is φ = 13094400.

The previous prime is 42574627. The next prime is 42574667. The reversal of 42574656 is 65647524.

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, 136741 + ... + 137051.

Almost surely, 242574656 is an apocalyptic number.

42574656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42574656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60862464).

42574656 is an abundant number, since it is smaller than the sum of its proper divisors (79150272).

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

42574656 is a wasteful number, since it uses less digits than its factorization.

42574656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 42574656 is about 6524.9257467039. The cubic root of 42574656 is about 349.1808216159.

The spelling of 42574656 in words is "forty-two million, five hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 138 184 186 192 248 276 311 368 372 496 552 622 713 736 744 933 992 1104 1244 1426 1472 1488 1866 1984 2139 2208 2488 2852 2976 3732 4278 4416 4976 5704 5952 7153 7464 8556 9641 9952 11408 14306 14928 17112 19282 19904 21459 22816 28612 28923 29856 34224 38564 42918 45632 57224 57846 59712 68448 77128 85836 114448 115692 136896 154256 171672 221743 228896 231384 308512 343344 443486 457792 462768 617024 665229 686688 886972 925536 1330458 1373376 1773944 1851072 2660916 3547888 5321832 7095776 10643664 14191552 21287328 42574656