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40404690 = 2335263569
BaseRepresentation
bin1001101000100…
…0011011010010
32211000202211000
42122020123102
540320422230
64002002430
71000301634
oct232103322
984022730
1040404690
1120897707
1211646416
1384a8b01
14551aa54
153831b60
hex26886d2

40404690 has 64 divisors (see below), whose sum is σ = 108345600. Its totient is φ = 10714752.

The previous prime is 40404667. The next prime is 40404757. The reversal of 40404690 is 9640404.

It is a super-2 number, since 2×404046902 = 3265077947992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 70726 + ... + 71294.

It is an arithmetic number, because the mean of its divisors is an integer number (1692900).

Almost surely, 240404690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40404690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54172800).

40404690 is an abundant number, since it is smaller than the sum of its proper divisors (67940910).

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

40404690 is a wasteful number, since it uses less digits than its factorization.

40404690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40404690 is about 6356.4683590812. The cubic root of 40404690 is about 343.1446717498.

The spelling of 40404690 in words is "forty million, four hundred four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 263 270 526 569 789 1138 1315 1578 1707 2367 2630 2845 3414 3945 4734 5121 5690 7101 7890 8535 10242 11835 14202 15363 17070 23670 25605 30726 35505 51210 71010 76815 149647 153630 299294 448941 748235 897882 1346823 1496470 2244705 2693646 4040469 4489410 6734115 8080938 13468230 20202345 40404690