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40404656 = 242931532
BaseRepresentation
bin1001101000100…
…0011010110000
32211000202202202
42122020122300
540320422111
64002002332
71000301555
oct232103260
984022682
1040404656
1120897686
12116463a8
1384a8aa6
14551aa2c
153831b3b
hex26886b0

40404656 has 60 divisors (see below), whose sum is σ = 85202880. Its totient is φ = 18520320.

The previous prime is 40404653. The next prime is 40404667. The reversal of 40404656 is 65640404.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (40404653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 762326 + ... + 762378.

It is an arithmetic number, because the mean of its divisors is an integer number (1420048).

Almost surely, 240404656 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 40404656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42601440).

40404656 is an abundant number, since it is smaller than the sum of its proper divisors (44798224).

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

40404656 is a wasteful number, since it uses less digits than its factorization.

40404656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 40404656 is about 6356.4656846395. The cubic root of 40404656 is about 343.1445754993.

The spelling of 40404656 in words is "forty million, four hundred four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 31 53 58 62 106 116 124 212 232 248 424 464 496 848 899 1537 1643 1798 2809 3074 3286 3596 5618 6148 6572 7192 11236 12296 13144 14384 22472 24592 26288 44944 47647 81461 87079 95294 162922 174158 190588 325844 348316 381176 651688 696632 762352 1303376 1393264 2525291 5050582 10101164 20202328 40404656