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638468082 = 23471733119
BaseRepresentation
bin100110000011100…
…011111111110010
31122111101112120000
4212003203333302
52301421434312
6143204330430
721551613660
oct4603437762
91574345500
10638468082
112a844257a
121599a3a16
13a2377085
1460b1bc30
153b0baadc
hex260e3ff2

638468082 has 80 divisors (see below), whose sum is σ = 1731248640. Its totient is φ = 171683712.

The previous prime is 638468059. The next prime is 638468101. The reversal of 638468082 is 280864836.

It is a happy number.

638468082 is a `hidden beast` number, since 638 + 4 + 6 + 8 + 0 + 8 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2719 + ... + 35837.

It is an arithmetic number, because the mean of its divisors is an integer number (21640608).

Almost surely, 2638468082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638468082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865624320).

638468082 is an abundant number, since it is smaller than the sum of its proper divisors (1092780558).

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

638468082 is a wasteful number, since it uses less digits than its factorization.

638468082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33157 (or 33148 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 638468082 is about 25267.9259536670. The cubic root of 638468082 is about 861.0857397407.

The spelling of 638468082 in words is "six hundred thirty-eight million, four hundred sixty-eight thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 714 918 1071 1134 1377 2142 2754 3213 6426 9639 19278 33119 66238 99357 198714 231833 298071 463666 563023 596142 695499 894213 1126046 1390998 1689069 1788426 2086497 2682639 3378138 3941161 4172994 5067207 5365278 6259491 7882322 10134414 11823483 12518982 15201621 18778473 23646966 30403242 35470449 37556946 45604863 70940898 91209726 106411347 212822694 319234041 638468082