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40406616 = 23321929537
BaseRepresentation
bin1001101000100…
…0111001011000
32211000212110100
42122020321120
540321002431
64002015400
71000310355
oct232107130
984025410
1040406616
11208990a8
1211647560
1384a9953
14551b62c
1538324e6
hex2688e58

40406616 has 48 divisors (see below), whose sum is σ = 115198200. Its totient is φ = 12759552.

The previous prime is 40406593. The next prime is 40406629. The reversal of 40406616 is 61660404.

40406616 is a `hidden beast` number, since 4 + 0 + 40 + 6 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40406616.

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 11 ways as a sum of consecutive naturals, for example, 13401 + ... + 16136.

Almost surely, 240406616 is an apocalyptic number.

It is an amenable number.

40406616 is an abundant number, since it is smaller than the sum of its proper divisors (74791584).

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

40406616 is a wasteful number, since it uses less digits than its factorization.

40406616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29568 (or 29561 counting only the distinct ones).

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

The square root of 40406616 is about 6356.6198564961. The cubic root of 40406616 is about 343.1501239728.

The spelling of 40406616 in words is "forty million, four hundred six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 29537 59074 88611 118148 177222 236296 265833 354444 531666 561203 708888 1063332 1122406 1683609 2126664 2244812 3367218 4489624 5050827 6734436 10101654 13468872 20203308 40406616