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40496292 = 223231131277
BaseRepresentation
bin1001101001111…
…0110010100100
32211012102110200
42122132302210
540331340132
64003550500
71001132664
oct232366244
984172420
1040496292
112094a511
121168b430
13850b705
1455421a4
15384dd7c
hex269eca4

40496292 has 72 divisors (see below), whose sum is σ = 106858752. Its totient is φ = 12916800.

The previous prime is 40496273. The next prime is 40496303. The reversal of 40496292 is 29269404.

40496292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146058 + ... + 146334.

Almost surely, 240496292 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 40496292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53429376).

40496292 is an abundant number, since it is smaller than the sum of its proper divisors (66362460).

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

40496292 is a wasteful number, since it uses less digits than its factorization.

40496292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 444 counting only the distinct ones).

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

The square root of 40496292 is about 6363.6696960166. The cubic root of 40496292 is about 343.4037919513.

The spelling of 40496292 in words is "forty million, four hundred ninety-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 131 186 262 277 279 372 393 524 554 558 786 831 1108 1116 1179 1572 1662 2358 2493 3324 4061 4716 4986 8122 8587 9972 12183 16244 17174 24366 25761 34348 36287 36549 48732 51522 72574 73098 77283 103044 108861 145148 146196 154566 217722 309132 326583 435444 653166 1124897 1306332 2249794 3374691 4499588 6749382 10124073 13498764 20248146 40496292