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645724002 = 23711311551
BaseRepresentation
bin100110011111001…
…111011101100010
31200000001011210210
4212133033131202
52310301132002
6144024034550
722000364160
oct4637173542
91600034723
10645724002
11301549000
12160302a56
13a3a17911
1461a8a230
153ba5096c
hex267cf762

645724002 has 64 divisors (see below), whose sum is σ = 1623564288. Its totient is φ = 167706000.

The previous prime is 645723977. The next prime is 645724003. The reversal of 645724002 is 200427546.

It is not an unprimeable number, because it can be changed into a prime (645724003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50127 + ... + 61677.

It is an arithmetic number, because the mean of its divisors is an integer number (25368192).

Almost surely, 2645724002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645724002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811782144).

645724002 is an abundant number, since it is smaller than the sum of its proper divisors (977840286).

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

645724002 is a wasteful number, since it uses less digits than its factorization.

645724002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11596 (or 11574 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 645724002 is about 25411.0999761915. The cubic root of 645724002 is about 864.3354187865.

The spelling of 645724002 in words is "six hundred forty-five million, seven hundred twenty-four thousand, two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1331 1694 2541 2662 3993 5082 7986 9317 11551 18634 23102 27951 34653 55902 69306 80857 127061 161714 242571 254122 381183 485142 762366 889427 1397671 1778854 2668281 2795342 4193013 5336562 8386026 9783697 15374381 19567394 29351091 30748762 46123143 58702182 92246286 107620667 215241334 322862001 645724002