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46145568 = 253768669
BaseRepresentation
bin1011000000001…
…0000000100000
310012211102211010
42300002000200
543303124233
64325020520
71100142120
oct260020040
9105742733
1046145568
1124058937
1213554740
139738b91
1461b2c80
1540b7b63
hex2c02020

46145568 has 48 divisors (see below), whose sum is σ = 138438720. Its totient is φ = 13184256.

The previous prime is 46145557. The next prime is 46145581. The reversal of 46145568 is 86554164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33663 + ... + 35006.

It is an arithmetic number, because the mean of its divisors is an integer number (2884140).

Almost surely, 246145568 is an apocalyptic number.

46145568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46145568 is an abundant number, since it is smaller than the sum of its proper divisors (92293152).

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

46145568 is a wasteful number, since it uses less digits than its factorization.

46145568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68689 (or 68681 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 46145568 is about 6793.0529219196. The cubic root of 46145568 is about 358.6823435487.

The spelling of 46145568 in words is "forty-six million, one hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 68669 137338 206007 274676 412014 480683 549352 824028 961366 1098704 1442049 1648056 1922732 2197408 2884098 3296112 3845464 5768196 6592224 7690928 11536392 15381856 23072784 46145568