Search a number
-
+
632950656 = 273131031231
BaseRepresentation
bin100101101110100…
…000111110000000
31122010000020001220
4211232200332000
52244013410111
6142450155040
721453664122
oct4556407600
91563006056
10632950656
112a5314218
12157b82a80
13a1194920
14600c3212
153a87ae06
hex25ba0f80

632950656 has 128 divisors (see below), whose sum is σ = 1829667840. Its totient is φ = 192706560.

The previous prime is 632950609. The next prime is 632950663. The reversal of 632950656 is 656059236.

It is a tau number, because it is divible by the number of its divisors (128).

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, 513561 + ... + 514791.

It is an arithmetic number, because the mean of its divisors is an integer number (14294280).

Almost surely, 2632950656 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 632950656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914833920).

632950656 is an abundant number, since it is smaller than the sum of its proper divisors (1196717184).

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

632950656 is a wasteful number, since it uses less digits than its factorization.

632950656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The square root of 632950656 is about 25158.5106077446. The cubic root of 632950656 is about 858.5981560417.

The spelling of 632950656 in words is "six hundred thirty-two million, nine hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 128 156 192 206 208 309 312 384 412 416 618 624 824 832 1231 1236 1248 1339 1648 1664 2462 2472 2496 2678 3296 3693 4017 4924 4944 4992 5356 6592 7386 8034 9848 9888 10712 13184 14772 16003 16068 19696 19776 21424 29544 32006 32136 39392 39552 42848 48009 59088 64012 64272 78784 85696 96018 118176 126793 128024 128544 157568 171392 192036 236352 253586 256048 257088 380379 384072 472704 507172 512096 514176 760758 768144 1014344 1024192 1521516 1536288 1648309 2028688 2048384 3043032 3072576 3296618 4057376 4944927 6086064 6145152 6593236 8114752 9889854 12172128 13186472 16229504 19779708 24344256 26372944 39559416 48688512 52745888 79118832 105491776 158237664 210983552 316475328 632950656