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645387972 = 223197935831
BaseRepresentation
bin100110011101111…
…101011011000100
31122222102002212020
4212131331123010
52310204403342
6144012523140
721664464405
oct4635753304
91588362766
10645387972
11301339599
121601804b0
13a392a998
14619dd9ac
153b9d60ec
hex2677d6c4

645387972 has 48 divisors (see below), whose sum is σ = 1605273600. Its totient is φ = 201221280.

The previous prime is 645387971. The next prime is 645388031. The reversal of 645387972 is 279783546.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (645387971) 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 15 ways as a sum of consecutive naturals, for example, 97 + ... + 35927.

It is an arithmetic number, because the mean of its divisors is an integer number (33443200).

Almost surely, 2645387972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645387972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802636800).

645387972 is an abundant number, since it is smaller than the sum of its proper divisors (959885628).

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

645387972 is a wasteful number, since it uses less digits than its factorization.

645387972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35936 (or 35934 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 645387972 is about 25404.4872414304. The cubic root of 645387972 is about 864.1854615159.

The spelling of 645387972 in words is "six hundred forty-five million, three hundred eighty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 79 114 158 228 237 316 474 948 1501 3002 4503 6004 9006 18012 35831 71662 107493 143324 214986 429972 680789 1361578 2042367 2723156 2830649 4084734 5661298 8169468 8491947 11322596 16983894 33967788 53782331 107564662 161346993 215129324 322693986 645387972