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645251440 = 245411271549
BaseRepresentation
bin100110011101011…
…100000101110000
31122222011011120111
4212131130011300
52310141021230
6144005551104
721663355351
oct4635340560
91588134514
10645251440
11301255a59
12160115494
13a38b07b2
14619a5d28
153b9aa92a
hex2675c170

645251440 has 80 divisors (see below), whose sum is σ = 1549900800. Its totient is φ = 249661440.

The previous prime is 645251429. The next prime is 645251443. The reversal of 645251440 is 44152546.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645251443) 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, 415786 + ... + 417334.

It is an arithmetic number, because the mean of its divisors is an integer number (19373760).

Almost surely, 2645251440 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 645251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774950400).

645251440 is an abundant number, since it is smaller than the sum of its proper divisors (904649360).

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

645251440 is a wasteful number, since it uses less digits than its factorization.

645251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 645251440 is about 25401.7999362250. The cubic root of 645251440 is about 864.1245176621.

The spelling of 645251440 in words is "six hundred forty-five million, two hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 127 164 205 254 328 410 508 635 656 820 1016 1270 1549 1640 2032 2540 3098 3280 5080 5207 6196 7745 10160 10414 12392 15490 20828 24784 26035 30980 41656 52070 61960 63509 83312 104140 123920 127018 196723 208280 254036 317545 393446 416560 508072 635090 786892 983615 1016144 1270180 1573784 1967230 2540360 3147568 3934460 5080720 7868920 8065643 15737840 16131286 32262572 40328215 64525144 80656430 129050288 161312860 322625720 645251440