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40985604 = 2232112972
BaseRepresentation
bin1001110001011…
…0010000000100
32212010021200100
42130112100010
540443014404
64022244100
71005241362
oct234262004
985107610
1040985604
1121154100
1211886630
13865034a
14562c632
1538e8d39
hex2716404

40985604 has 81 divisors (see below), whose sum is σ = 115063221. Its totient is φ = 12291840.

The previous prime is 40985599. The next prime is 40985611. The reversal of 40985604 is 40658904.

The square root of 40985604 is 6402.

It is a perfect power (a square), and thus also a powerful number.

40985604 is a `hidden beast` number, since 4 + 0 + 98 + 560 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18404100 + 22581504 = 4290^2 + 4752^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 422484 + ... + 422580.

Almost surely, 240985604 is an apocalyptic number.

40985604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

40985604 is the 6402-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40985604

40985604 is an abundant number, since it is smaller than the sum of its proper divisors (74077617).

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

40985604 is a wasteful number, since it uses less digits than its factorization.

40985604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

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

The cubic root of 40985604 is about 344.7813611550.

Multiplying 40985604 by its sum of digits (36), we get a square (1475481744 = 384122).

40985604 divided by its sum of digits (36) gives a square (1138489 = 10672).

The spelling of 40985604 in words is "forty million, nine hundred eighty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 121 132 194 198 242 291 363 388 396 484 582 726 873 1067 1089 1164 1452 1746 2134 2178 3201 3492 4268 4356 6402 9409 9603 11737 12804 18818 19206 23474 28227 35211 37636 38412 46948 56454 70422 84681 103499 105633 112908 140844 169362 206998 211266 310497 338724 413996 422532 620994 931491 1138489 1241988 1862982 2276978 3415467 3725964 4553956 6830934 10246401 13661868 20492802 40985604