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640997472 = 253371131597
BaseRepresentation
bin100110001101001…
…101100001100000
31122200011001020010
4212031031201200
52303043404342
6143334444520
721612250203
oct4615154140
91580131203
10640997472
112a990a985
1215a803740
13a2a5145b
14611b993a
153b41a29c
hex2634d860

640997472 has 96 divisors (see below), whose sum is σ = 1744479072. Its totient is φ = 205922304.

The previous prime is 640997459. The next prime is 640997473. The reversal of 640997472 is 274799046.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6409974722 = 821755518220781568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640997473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400578 + ... + 402174.

It is an arithmetic number, because the mean of its divisors is an integer number (18171657).

Almost surely, 2640997472 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 640997472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872239536).

640997472 is an abundant number, since it is smaller than the sum of its proper divisors (1103481600).

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

640997472 is a wasteful number, since it uses less digits than its factorization.

640997472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 640997472 is about 25317.9278772968. The cubic root of 640997472 is about 862.2213495147.

The spelling of 640997472 in words is "six hundred forty million, nine hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 113 148 222 226 296 339 444 452 592 678 888 904 1184 1356 1597 1776 1808 2712 3194 3552 3616 4181 4791 5424 6388 8362 9582 10848 12543 12776 16724 19164 25086 25552 33448 38328 50172 51104 59089 66896 76656 100344 118178 133792 153312 177267 180461 200688 236356 354534 360922 401376 472712 541383 709068 721844 945424 1082766 1418136 1443688 1890848 2165532 2836272 2887376 4331064 5672544 5774752 6677057 8662128 13354114 17324256 20031171 26708228 40062342 53416456 80124684 106832912 160249368 213665824 320498736 640997472