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640627648 = 262331101139
BaseRepresentation
bin100110001011110…
…011001111000000
31122122110020220221
4212023303033000
52303000041043
6143322512424
721606150043
oct4613631700
91578406827
10640627648
112a9688041
1215a665714
13a295201b
1461120c5a
153b3958ed
hex262f33c0

640627648 has 112 divisors (see below), whose sum is σ = 1392814080. Its totient is φ = 291456000.

The previous prime is 640627621. The next prime is 640627651. The reversal of 640627648 is 846726046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4608763 + ... + 4608901.

It is an arithmetic number, because the mean of its divisors is an integer number (12435840).

Almost surely, 2640627648 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 640627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696407040).

640627648 is an abundant number, since it is smaller than the sum of its proper divisors (752186432).

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

640627648 is a wasteful number, since it uses less digits than its factorization.

640627648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 640627648 is about 25310.6232242511. The cubic root of 640627648 is about 862.0554978507.

The spelling of 640627648 in words is "six hundred forty million, six hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 101 124 139 184 202 248 278 368 404 496 556 713 736 808 992 1112 1426 1472 1616 1984 2224 2323 2852 3131 3197 3232 4309 4448 4646 5704 6262 6394 6464 8618 8896 9292 11408 12524 12788 14039 17236 18584 22816 25048 25576 28078 34472 37168 45632 50096 51152 56156 68944 72013 74336 99107 100192 102304 112312 137888 144026 148672 198214 200384 204608 224624 275776 288052 322897 396428 435209 449248 576104 645794 792856 870418 898496 1152208 1291588 1585712 1740836 2304416 2583176 3171424 3481672 4608832 5166352 6342848 6963344 10009807 10332704 13926688 20019614 20665408 27853376 40039228 80078456 160156912 320313824 640627648