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642405246 = 237671671367
BaseRepresentation
bin100110010010100…
…101001101111110
31122202210120022220
4212102211031332
52303423431441
6143424550210
721630232410
oct4622451576
91582716286
10642405246
112aa69162a
1215b182366
13a3125162
14614649b0
153b5e7466
hex264a537e

642405246 has 64 divisors (see below), whose sum is σ = 1500291072. Its totient is φ = 179590752.

The previous prime is 642405199. The next prime is 642405271. The reversal of 642405246 is 642504246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469255 + ... + 470621.

It is an arithmetic number, because the mean of its divisors is an integer number (23442048).

Almost surely, 2642405246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642405246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750145536).

642405246 is an abundant number, since it is smaller than the sum of its proper divisors (857885826).

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

642405246 is a wasteful number, since it uses less digits than its factorization.

642405246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613.

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 642405246 is about 25345.7145490120. The cubic root of 642405246 is about 862.8520983773.

The spelling of 642405246 in words is "six hundred forty-two million, four hundred five thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 67 134 167 201 334 402 469 501 938 1002 1169 1367 1407 2338 2734 2814 3507 4101 7014 8202 9569 11189 19138 22378 28707 33567 57414 67134 78323 91589 156646 183178 228289 234969 274767 456578 469938 549534 641123 684867 1282246 1369734 1598023 1923369 3196046 3846738 4794069 9588138 15295363 30590726 45886089 91772178 107067541 214135082 321202623 642405246