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400536117 = 3367221413
BaseRepresentation
bin10111110111111…
…011001000110101
31000220200100021000
4113313323020311
51310014123432
6103424513513
712632333532
oct2767731065
91026610230
10400536117
11196101793
12b217b899
1364c9b627
143b2a3d89
152526c57c
hex17dfb235

400536117 has 16 divisors (see below), whose sum is σ = 602246080. Its totient is φ = 263037456.

The previous prime is 400536091. The next prime is 400536119. The reversal of 400536117 is 711635004.

400536117 is a `hidden beast` number, since 40 + 0 + 5 + 3 + 611 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2k-400536117 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400536119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108898 + ... + 112515.

It is an arithmetic number, because the mean of its divisors is an integer number (37640380).

Almost surely, 2400536117 is an apocalyptic number.

It is an amenable number.

400536117 is a deficient number, since it is larger than the sum of its proper divisors (201709963).

400536117 is a wasteful number, since it uses less digits than its factorization.

400536117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221489 (or 221483 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 400536117 is about 20013.3984370471. The cubic root of 400536117 is about 737.1353314248.

The spelling of 400536117 in words is "four hundred million, five hundred thirty-six thousand, one hundred seventeen".

Divisors: 1 3 9 27 67 201 603 1809 221413 664239 1992717 5978151 14834671 44504013 133512039 400536117