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40164966 = 23219911213
BaseRepresentation
bin1001100100110…
…1111001100110
32210120120222100
42121031321212
540240234331
63552512530
7665253012
oct231157146
983516870
1040164966
1120743596
121154b746
13842396a
145497542
1537d5ae6
hex264de66

40164966 has 24 divisors (see below), whose sum is σ = 87469200. Its totient is φ = 13319856.

The previous prime is 40164961. The next prime is 40164977. The reversal of 40164966 is 66946104.

40164966 is a `hidden beast` number, since 4 + 0 + 1 + 649 + 6 + 6 = 666.

It is a super-2 number, since 2×401649662 = 3226448987562312, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40164966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40164961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2025 + ... + 9188.

It is an arithmetic number, because the mean of its divisors is an integer number (3644550).

Almost surely, 240164966 is an apocalyptic number.

40164966 is an abundant number, since it is smaller than the sum of its proper divisors (47304234).

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

40164966 is a wasteful number, since it uses less digits than its factorization.

40164966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11420 (or 11417 counting only the distinct ones).

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

The square root of 40164966 is about 6337.5836089159. The cubic root of 40164966 is about 342.4646909806.

The spelling of 40164966 in words is "forty million, one hundred sixty-four thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 199 398 597 1194 1791 3582 11213 22426 33639 67278 100917 201834 2231387 4462774 6694161 13388322 20082483 40164966