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40785108 = 223713417
BaseRepresentation
bin1001101110010…
…1010011010100
32211202002122120
42123211103110
540420110413
64014055540
71003445010
oct233452324
984662576
1040785108
1121027501
12117aa5b0
1385b0000
1455b9540
1538a9723
hex26e54d4

40785108 has 120 divisors (see below), whose sum is σ = 124754112. Its totient is φ = 10123776.

The previous prime is 40785103. The next prime is 40785167. The reversal of 40785108 is 80158704.

It is a happy number.

40785108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40785103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2399116 + ... + 2399132.

Almost surely, 240785108 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 40785108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62377056).

40785108 is an abundant number, since it is smaller than the sum of its proper divisors (83969004).

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

40785108 is a wasteful number, since it uses less digits than its factorization.

40785108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 40785108 is about 6386.3219461596. The cubic root of 40785108 is about 344.2182340665.

The spelling of 40785108 in words is "forty million, seven hundred eighty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 169 182 204 221 238 273 338 357 364 442 476 507 546 663 676 714 884 1014 1092 1183 1326 1428 1547 2028 2197 2366 2652 2873 3094 3549 4394 4641 4732 5746 6188 6591 7098 8619 8788 9282 11492 13182 14196 15379 17238 18564 20111 26364 28561 30758 34476 37349 40222 46137 57122 60333 61516 74698 80444 85683 92274 112047 114244 120666 149396 171366 184548 199927 224094 241332 261443 342732 399854 448188 485537 522886 599781 784329 799708 971074 1045772 1199562 1456611 1568658 1942148 2399124 2913222 3137316 3398759 5826444 6797518 10196277 13595036 20392554 40785108