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642091460 = 225237917669
BaseRepresentation
bin100110010001011…
…000100111000100
31122202012121220012
4212101120213010
52303333411320
6143414125352
721624454523
oct4621304704
91582177805
10642091460
112aa4978aa
1215b050858
13a304539a
14613c24ba
153b5844c5
hex264589c4

642091460 has 48 divisors (see below), whose sum is σ = 1424908800. Its totient is φ = 242546304.

The previous prime is 642091427. The next prime is 642091469. The reversal of 642091460 is 64190246.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (642091469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27506 + ... + 45174.

It is an arithmetic number, because the mean of its divisors is an integer number (29685600).

Almost surely, 2642091460 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 642091460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

642091460 is an abundant number, since it is smaller than the sum of its proper divisors (782817340).

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

642091460 is a wasteful number, since it uses less digits than its factorization.

642091460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17780 (or 17778 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 642091460 is about 25339.5236735026. The cubic root of 642091460 is about 862.7115873809.

The spelling of 642091460 in words is "six hundred forty-two million, ninety-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 79 92 115 158 230 316 395 460 790 1580 1817 3634 7268 9085 17669 18170 35338 36340 70676 88345 176690 353380 406387 812774 1395851 1625548 2031935 2791702 4063870 5583404 6979255 8127740 13958510 27917020 32104573 64209146 128418292 160522865 321045730 642091460