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642419716 = 22192232292
BaseRepresentation
bin100110010010101…
…000110000000100
31122202211022011211
4212102220300010
52303424412331
6143425141204
721630322531
oct4622506004
91582738154
10642419716
112aa6a1494
1215b18a804
13a312b913
1461469d88
153b5eb8b1
hex264a8c04

642419716 has 81 divisors (see below), whose sum is σ = 1284595221. Its totient is φ = 281036448.

The previous prime is 642419689. The next prime is 642419717. The reversal of 642419716 is 617914246.

The square root of 642419716 is 25346.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 336869316 + 305550400 = 18354^2 + 17480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (642419717) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22152390 + ... + 22152418.

Almost surely, 2642419716 is an apocalyptic number.

642419716 is the 25346-th square number.

It is an amenable number.

642419716 is a deficient number, since it is larger than the sum of its proper divisors (642175505).

642419716 is a wasteful number, since it uses less digits than its factorization.

642419716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The cubic root of 642419716 is about 862.8585768301.

The spelling of 642419716 in words is "six hundred forty-two million, four hundred nineteen thousand, seven hundred sixteen".

Divisors: 1 2 4 19 23 29 38 46 58 76 92 116 361 437 529 551 667 722 841 874 1058 1102 1334 1444 1682 1748 2116 2204 2668 3364 8303 10051 10469 12673 15341 15979 16606 19343 20102 20938 25346 30682 31958 33212 38686 40204 41876 50692 61364 63916 77372 190969 240787 291479 303601 367517 381938 444889 481574 582958 607202 735034 763876 889778 963148 1165916 1214404 1470068 1779556 5538101 6982823 8452891 11076202 13965646 16905782 22152404 27931292 33811564 160604929 321209858 642419716