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645200046 = 23359313647
BaseRepresentation
bin100110011101001…
…111100010101110
31122222001120002000
4212131033202232
52310132400141
6144004513130
721663052461
oct4635174256
91588046060
10645200046
11301220387
121600ab7a6
13a389329a
14619912d8
153b99a5b6
hex2674f8ae

645200046 has 64 divisors (see below), whose sum is σ = 1464998400. Its totient is φ = 210420288.

The previous prime is 645200041. The next prime is 645200047. The reversal of 645200046 is 640002546.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 645199992 and 645200019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645200041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996895 + ... + 997541.

It is an arithmetic number, because the mean of its divisors is an integer number (22890600).

Almost surely, 2645200046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645200046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732499200).

645200046 is an abundant number, since it is smaller than the sum of its proper divisors (819798354).

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

645200046 is a wasteful number, since it uses less digits than its factorization.

645200046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 645200046 is about 25400.7882948542. The cubic root of 645200046 is about 864.1015746707.

The spelling of 645200046 in words is "six hundred forty-five million, two hundred thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 313 354 531 626 647 939 1062 1294 1593 1878 1941 2817 3186 3882 5634 5823 8451 11646 16902 17469 18467 34938 36934 38173 55401 76346 110802 114519 166203 202511 229038 332406 343557 405022 498609 607533 687114 997218 1030671 1215066 1822599 2061342 3645198 5467797 10935594 11948149 23896298 35844447 71688894 107533341 215066682 322600023 645200046