Search a number
-
+
40903688 = 2372989283
BaseRepresentation
bin1001110000001…
…0010000001000
32211222010022102
42130002100020
540432404223
64020412532
71004450510
oct234022010
984863272
1040903688
11210a8601
1211847148
138621c87
14560a840
1538ce928
hex2702408

40903688 has 64 divisors (see below), whose sum is σ = 92016000. Its totient is φ = 16676352.

The previous prime is 40903673. The next prime is 40903693. The reversal of 40903688 is 88630904.

It is a super-2 number, since 2×409036882 = 3346223384002688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144395 + ... + 144677.

It is an arithmetic number, because the mean of its divisors is an integer number (1437750).

Almost surely, 240903688 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 40903688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46008000).

40903688 is an abundant number, since it is smaller than the sum of its proper divisors (51112312).

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

40903688 is a wasteful number, since it uses less digits than its factorization.

40903688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 40903688 is about 6395.5991118894. The cubic root of 40903688 is about 344.5515085221.

The spelling of 40903688 in words is "forty million, nine hundred three thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 89 116 178 203 232 283 356 406 566 623 712 812 1132 1246 1624 1981 2264 2492 2581 3962 4984 5162 7924 8207 10324 15848 16414 18067 20648 25187 32828 36134 50374 57449 65656 72268 100748 114898 144536 176309 201496 229796 352618 459592 705236 730423 1410472 1460846 2921692 5112961 5843384 10225922 20451844 40903688