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40685904 = 24327181223
BaseRepresentation
bin1001101100110…
…1000101010000
32211120001120100
42123031011100
540403422104
64012012400
71002552540
oct233150520
984501510
1040685904
1120a69a16
1211761100
138576acc
145591320
15388a139
hex26cd150

40685904 has 120 divisors (see below), whose sum is σ = 131436032. Its totient is φ = 11508480.

The previous prime is 40685881. The next prime is 40685921. The reversal of 40685904 is 40958604.

40685904 is a `hidden beast` number, since 4 + 0 + 68 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 182337 + ... + 182559.

Almost surely, 240685904 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 40685904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65718016).

40685904 is an abundant number, since it is smaller than the sum of its proper divisors (90750128).

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

40685904 is a wasteful number, since it uses less digits than its factorization.

40685904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40685904 is about 6378.5503055161. The cubic root of 40685904 is about 343.9389201091.

The spelling of 40685904 in words is "forty million, six hundred eighty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 181 223 252 336 362 446 504 543 669 724 892 1008 1086 1267 1338 1448 1561 1629 1784 2007 2172 2534 2676 2896 3122 3258 3568 3801 4014 4344 4683 5068 5352 6244 6516 7602 8028 8688 9366 10136 10704 11403 12488 13032 14049 15204 16056 18732 20272 22806 24976 26064 28098 30408 32112 37464 40363 45612 56196 60816 74928 80726 91224 112392 121089 161452 182448 224784 242178 282541 322904 363267 484356 565082 645808 726534 847623 968712 1130164 1453068 1695246 1937424 2260328 2542869 2906136 3390492 4520656 5085738 5812272 6780984 10171476 13561968 20342952 40685904