Search a number
-
+
641392928 = 25114372
BaseRepresentation
bin100110001110101…
…110000100100000
31122200220010200122
4212032232010200
52303144033203
6143351135412
721615515141
oct4616560440
91580803618
10641392928
112aa060000
1215a974568
13a2b5c457
146127dac8
153b497538
hex263ae120

641392928 has 90 divisors (see below), whose sum is σ = 1427563305. Its totient is φ = 283662720.

The previous prime is 641392919. The next prime is 641392931. The reversal of 641392928 is 829293146.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 517471504 + 123921424 = 22748^2 + 11132^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=17908.

It is a super-2 number, since 2×6413929282 = 822769776176826368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

Its product of digits (186624) is a multiple of the sum of its prime factors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17334926 + ... + 17334962.

Almost surely, 2641392928 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 641392928

641392928 is an abundant number, since it is smaller than the sum of its proper divisors (786170377).

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

641392928 is an frugal number, since it uses more digits than its factorization.

641392928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 50 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 641392928 is about 25325.7364749774. The cubic root of 641392928 is about 862.3986255705.

The spelling of 641392928 in words is "six hundred forty-one million, three hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 121 148 176 242 296 352 407 484 592 814 968 1184 1331 1369 1628 1936 2662 2738 3256 3872 4477 5324 5476 6512 8954 10648 10952 13024 14641 15059 17908 21296 21904 29282 30118 35816 42592 43808 49247 58564 60236 71632 98494 117128 120472 143264 165649 196988 234256 240944 331298 393976 468512 481888 541717 662596 787952 1083434 1325192 1575904 1822139 2166868 2650384 3644278 4333736 5300768 7288556 8667472 14577112 17334944 20043529 29154224 40087058 58308448 80174116 160348232 320696464 641392928