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3645985924 = 22721922272
BaseRepresentation
bin1101100101010001…
…0101010010000100
3100102002120021102201
43121110111102010
524431333022144
61401442044244
7156231240400
oct33124252204
910362507381
103645985924
111601078209
12859049684
13461491429
14268320100
151651471d4
hexd9515484

3645985924 has 81 divisors (see below), whose sum is σ = 7868047383. Its totient is φ = 1473803856.

The previous prime is 3645985907. The next prime is 3645985927. The reversal of 3645985924 is 4295895463.

The square root of 3645985924 is 60382.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×36459859242 = 26586426716012267552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3645985927) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 16061499 + ... + 16061725.

Almost surely, 23645985924 is an apocalyptic number.

3645985924 is the 60382-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645985924

3645985924 is an abundant number, since it is smaller than the sum of its proper divisors (4222061459).

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

3645985924 is a wasteful number, since it uses less digits than its factorization.

3645985924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 55.

The cubic root of 3645985924 is about 1539.1170972224.

The spelling of 3645985924 in words is "three billion, six hundred forty-five million, nine hundred eighty-five thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 227 266 361 454 532 722 908 931 1444 1589 1862 2527 3178 3724 4313 5054 6356 8626 10108 11123 17252 17689 22246 30191 35378 44492 51529 60382 70756 81947 103058 120764 163894 206116 211337 327788 360703 422674 573629 721406 845348 979051 1147258 1442812 1958102 2294516 2524921 3916204 4015403 5049842 6853357 8030806 10099684 13706714 16061612 18601969 27413428 37203938 47973499 74407876 95946998 130213783 191893996 260427566 520855132 911496481 1822992962 3645985924