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40290948 = 22323179457
BaseRepresentation
bin1001100110110…
…0101010000100
32210210222210100
42121230222010
540303302243
63555324100
7666316215
oct231545204
983728710
1040290948
112081a205
12115b0630
1384690c9
1454cb40c
15380d0d3
hex266ca84

40290948 has 72 divisors (see below), whose sum is σ = 106695680. Its totient is φ = 12804480.

The previous prime is 40290937. The next prime is 40290953. The reversal of 40290948 is 84909204.

It is a happy number.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 87936 + ... + 88392.

Almost surely, 240290948 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 40290948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53347840).

40290948 is an abundant number, since it is smaller than the sum of its proper divisors (66404732).

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

40290948 is a wasteful number, since it uses less digits than its factorization.

40290948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 40290948 is about 6347.5151043538. The cubic root of 40290948 is about 342.8223771296.

The spelling of 40290948 in words is "forty million, two hundred ninety thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 79 93 124 158 186 237 279 316 372 457 474 558 711 914 948 1116 1371 1422 1828 2449 2742 2844 4113 4898 5484 7347 8226 9796 14167 14694 16452 22041 28334 29388 36103 42501 44082 56668 72206 85002 88164 108309 127503 144412 170004 216618 255006 324927 433236 510012 649854 1119193 1299708 2238386 3357579 4476772 6715158 10072737 13430316 20145474 40290948