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46395945 = 3252321949
BaseRepresentation
bin1011000011111…
…1001000101001
310020022011021100
42300333020221
543334132240
64334232013
71102234101
oct260771051
9106264240
1046395945
1124209a62
1213655609
1397c5b2b
14623a201
154116e30
hex2c3f229

46395945 has 36 divisors (see below), whose sum is σ = 84111300. Its totient is φ = 23656512.

The previous prime is 46395917. The next prime is 46395961. The reversal of 46395945 is 54959364.

46395945 is a `hidden beast` number, since 4 + 639 + 5 + 9 + 4 + 5 = 666.

46395945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27499536 + 18896409 = 5244^2 + 4347^2 .

It is not a de Polignac number, because 46395945 - 28 = 46395689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 46395945.

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 35 ways as a sum of consecutive naturals, for example, 22831 + ... + 24779.

It is an arithmetic number, because the mean of its divisors is an integer number (2336425).

Almost surely, 246395945 is an apocalyptic number.

46395945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46395945 is a deficient number, since it is larger than the sum of its proper divisors (37715355).

46395945 is a wasteful number, since it uses less digits than its factorization.

46395945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1980 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 46395945 is about 6811.4568926185. The cubic root of 46395945 is about 359.3298876706.

The spelling of 46395945 in words is "forty-six million, three hundred ninety-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 529 1035 1587 1949 2645 4761 5847 7935 9745 17541 23805 29235 44827 87705 134481 224135 403443 672405 1031021 2017215 3093063 5155105 9279189 15465315 46395945