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645827840 = 285731471
BaseRepresentation
bin100110011111101…
…000110100000000
31200000020110020122
4212133220310000
52310312442330
6144030155412
722001306000
oct4637506400
91600213218
10645827840
1130160a019
12160352b68
13a3a52c68
1461ab6000
153ba715e5
hex267e8d00

645827840 has 144 divisors (see below), whose sum is σ = 1805260800. Its totient is φ = 221276160.

The previous prime is 645827839. The next prime is 645827873. The reversal of 645827840 is 48728546.

It is a junction number, because it is equal to n+sod(n) for n = 645827791 and 645827800.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 438305 + ... + 439775.

Almost surely, 2645827840 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 645827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902630400).

645827840 is an abundant number, since it is smaller than the sum of its proper divisors (1159432960).

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

645827840 is an equidigital number, since it uses as much as digits as its factorization.

645827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The square root of 645827840 is about 25413.1430563006. The cubic root of 645827840 is about 864.3817471716.

The spelling of 645827840 in words is "six hundred forty-five million, eight hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 343 392 448 490 560 640 686 784 896 980 1120 1280 1372 1471 1568 1715 1792 1960 2240 2744 2942 3136 3430 3920 4480 5488 5884 6272 6860 7355 7840 8960 10297 10976 11768 12544 13720 14710 15680 20594 21952 23536 27440 29420 31360 41188 43904 47072 51485 54880 58840 62720 72079 82376 87808 94144 102970 109760 117680 144158 164752 188288 205940 219520 235360 288316 329504 360395 376576 411880 439040 470720 504553 576632 659008 720790 823760 941440 1009106 1153264 1318016 1441580 1647520 1882880 2018212 2306528 2522765 2636032 2883160 3295040 4036424 4613056 5045530 5766320 6590080 8072848 9226112 10091060 11532640 13180160 16145696 18452224 20182120 23065280 32291392 40364240 46130560 64582784 80728480 92261120 129165568 161456960 322913920 645827840