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645869406 = 2371317149467
BaseRepresentation
bin100110011111110…
…010111101011110
31200000022120021010
4212133302331132
52310320310111
6144031120050
722001541120
oct4637627536
91600276233
10645869406
11301638276
12160373026
13a3a68b60
1461ac7210
153ba7daa6
hex267f2f5e

645869406 has 128 divisors (see below), whose sum is σ = 1698278400. Its totient is φ = 158902272.

The previous prime is 645869387. The next prime is 645869437. The reversal of 645869406 is 604968546.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1382785 + ... + 1383251.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 2645869406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645869406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849139200).

645869406 is an abundant number, since it is smaller than the sum of its proper divisors (1052408994).

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

645869406 is a wasteful number, since it uses less digits than its factorization.

645869406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658.

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 645869406 is about 25413.9608483211. The cubic root of 645869406 is about 864.4002908756.

The spelling of 645869406 in words is "six hundred forty-five million, eight hundred sixty-nine thousand, four hundred six".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 149 182 221 238 273 298 357 442 447 467 546 663 714 894 934 1043 1326 1401 1547 1937 2086 2533 2802 3094 3129 3269 3874 4641 5066 5811 6071 6258 6538 7599 7939 9282 9807 11622 12142 13559 15198 15878 17731 18213 19614 23817 27118 32929 35462 36426 40677 42497 47634 53193 55573 65858 69583 81354 84994 98787 103207 106386 111146 127491 139166 166719 197574 206414 208749 230503 254982 309621 333438 417498 461006 487081 619242 691509 722449 904579 974162 1182911 1383018 1444898 1461243 1809158 2167347 2365822 2713737 2922486 3548733 4334694 5427474 6332053 7097466 8280377 12664106 15377843 16560754 18996159 24841131 30755686 37992318 46133529 49682262 92267058 107644901 215289802 322934703 645869406