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40296906 = 23313137419
BaseRepresentation
bin1001100110111…
…0000111001010
32210211021222000
42121232013022
540304000111
63555411430
7666342456
oct231560712
983737860
1040296906
1120823731
12115b3b76
13846ba30
1454cd666
15380ec56
hex266e1ca

40296906 has 64 divisors (see below), whose sum is σ = 97372800. Its totient is φ = 12279168.

The previous prime is 40296877. The next prime is 40296911. The reversal of 40296906 is 60969204.

40296906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 95965 + ... + 96383.

It is an arithmetic number, because the mean of its divisors is an integer number (1521450).

Almost surely, 240296906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40296906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48686400).

40296906 is an abundant number, since it is smaller than the sum of its proper divisors (57075894).

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

40296906 is a wasteful number, since it uses less digits than its factorization.

40296906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 40296906 is about 6347.9844045177. The cubic root of 40296906 is about 342.8392745152.

The spelling of 40296906 in words is "forty million, two hundred ninety-six thousand, nine hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 137 234 274 351 411 419 702 822 838 1233 1257 1781 2466 2514 3562 3699 3771 5343 5447 7398 7542 10686 10894 11313 16029 16341 22626 32058 32682 48087 49023 57403 96174 98046 114806 147069 172209 294138 344418 516627 746239 1033254 1492478 1549881 2238717 3099762 4477434 6716151 13432302 20148453 40296906