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40492656 = 2433671399
BaseRepresentation
bin1001101001110…
…1111001110000
32211012020111000
42122131321300
540331231111
64003522000
71001116251
oct232357160
984166430
1040492656
1120947806
1211689300
138509b69
145540b28
15384cc56
hex269de70

40492656 has 80 divisors (see below), whose sum is σ = 118048000. Its totient is φ = 13286592.

The previous prime is 40492643. The next prime is 40492681. The reversal of 40492656 is 65629404.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40492656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28245 + ... + 29643.

It is an arithmetic number, because the mean of its divisors is an integer number (1475600).

Almost surely, 240492656 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 40492656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59024000).

40492656 is an abundant number, since it is smaller than the sum of its proper divisors (77555344).

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

40492656 is a wasteful number, since it uses less digits than its factorization.

40492656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 40492656 is about 6363.3840053858. The cubic root of 40492656 is about 343.3935140263.

The spelling of 40492656 in words is "forty million, four hundred ninety-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1399 1608 1809 2412 2798 3216 3618 4197 4824 5596 7236 8394 9648 11192 12591 14472 16788 22384 25182 28944 33576 37773 50364 67152 75546 93733 100728 151092 187466 201456 281199 302184 374932 562398 604368 749864 843597 1124796 1499728 1687194 2249592 2530791 3374388 4499184 5061582 6748776 10123164 13497552 20246328 40492656