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31689768 = 233111723307
BaseRepresentation
bin111100011100…
…0110000101000
32012122000012010
41320320300220
531103033033
63051115520
7533233665
oct170706050
965560163
1031689768
1116984aa0
12a742ba0
136747156
1442cca6c
152bae863
hex1e38c28

31689768 has 128 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 8616960.

The previous prime is 31689733. The next prime is 31689769. The reversal of 31689768 is 86798613.

It is not an unprimeable number, because it can be changed into a prime (31689769) 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 31 ways as a sum of consecutive naturals, for example, 103071 + ... + 103377.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 231689768 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 31689768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

31689768 is an abundant number, since it is smaller than the sum of its proper divisors (64110552).

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

31689768 is a wasteful number, since it uses less digits than its factorization.

31689768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 31689768 is about 5629.3665718267. The cubic root of 31689768 is about 316.4509131763.

The spelling of 31689768 in words is "thirty-one million, six hundred eighty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 23 24 33 34 44 46 51 66 68 69 88 92 102 132 136 138 184 187 204 253 264 276 307 374 391 408 506 552 561 614 748 759 782 921 1012 1122 1173 1228 1496 1518 1564 1842 2024 2244 2346 2456 3036 3128 3377 3684 4301 4488 4692 5219 6072 6754 7061 7368 8602 9384 10131 10438 12903 13508 14122 15657 17204 20262 20876 21183 25806 27016 28244 31314 34408 40524 41752 42366 51612 56488 57409 62628 77671 81048 84732 103224 114818 120037 125256 155342 169464 172227 229636 233013 240074 310684 344454 360111 459272 466026 480148 621368 688908 720222 932052 960296 1320407 1377816 1440444 1864104 2640814 2880888 3961221 5281628 7922442 10563256 15844884 31689768