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40904946 = 2334771227
BaseRepresentation
bin1001110000001…
…0100011110010
32211222012001000
42130002203302
540432424241
64020422430
71004454255
oct234024362
984865030
1040904946
11210a9545
1211847a16
138622714
14560b09c
1538ceeb6
hex27028f2

40904946 has 64 divisors (see below), whose sum is σ = 94556160. Its totient is φ = 13098960.

The previous prime is 40904939. The next prime is 40904951. The reversal of 40904946 is 64940904.

It is a self number, because there is not a number n which added to its sum of digits gives 40904946.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180085 + ... + 180311.

It is an arithmetic number, because the mean of its divisors is an integer number (1477440).

Almost surely, 240904946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40904946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47278080).

40904946 is an abundant number, since it is smaller than the sum of its proper divisors (53651214).

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

40904946 is a wasteful number, since it uses less digits than its factorization.

40904946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40904946 is about 6395.6974600117. The cubic root of 40904946 is about 344.5550407330. Note that the first 3 decimals are identical.

The spelling of 40904946 in words is "forty million, nine hundred four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 27 47 54 71 94 141 142 213 227 282 423 426 454 639 681 846 1269 1278 1362 1917 2043 2538 3337 3834 4086 6129 6674 10011 10669 12258 16117 20022 21338 30033 32007 32234 48351 60066 64014 90099 96021 96702 145053 180198 192042 288063 290106 435159 576126 757499 870318 1514998 2272497 4544994 6817491 13634982 20452473 40904946