Search a number
-
+
644004864 = 2103323293
BaseRepresentation
bin100110011000101…
…011110000000000
31122212210211121000
4212120223300000
52304331123424
6143523132000
721646644126
oct4630536000
91585724530
10644004864
11300584428
1215b814000
13a3565289
146175d916
153b8113c9
hex2662bc00

644004864 has 88 divisors (see below), whose sum is σ = 1907312720. Its totient is φ = 214659072.

The previous prime is 644004799. The next prime is 644004887. The reversal of 644004864 is 468400446.

644004864 is a `hidden beast` number, since 644 + 0 + 0 + 4 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16002 + ... + 39294.

Almost surely, 2644004864 is an apocalyptic number.

644004864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953656360).

644004864 is an abundant number, since it is smaller than the sum of its proper divisors (1263307856).

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

644004864 is a wasteful number, since it uses less digits than its factorization.

644004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23322 (or 23298 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 644004864 is about 25377.2509149435. The cubic root of 644004864 is about 863.5676849555.

The spelling of 644004864 in words is "six hundred forty-four million, four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 23293 27648 46586 69879 93172 139758 186344 209637 279516 372688 419274 559032 628911 745376 838548 1118064 1257822 1490752 1677096 2236128 2515644 2981504 3354192 4472256 5031288 5963008 6708384 8944512 10062576 11926016 13416768 17889024 20125152 23852032 26833536 35778048 40250304 53667072 71556096 80500608 107334144 161001216 214668288 322002432 644004864