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638220492 = 223372139277
BaseRepresentation
bin100110000010100…
…111100011001100
31122110220221221000
4212002213203030
52301341023432
6143155140300
721546533100
oct4602474314
91573827830
10638220492
112a8293558
121598a4690
13a22bb480
1460a95900
153b06c57c
hex260a78cc

638220492 has 144 divisors (see below), whose sum is σ = 2073076320. Its totient is φ = 168303744.

The previous prime is 638220463. The next prime is 638220509. The reversal of 638220492 is 294022836.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64158 + ... + 73434.

Almost surely, 2638220492 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 638220492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036538160).

638220492 is an abundant number, since it is smaller than the sum of its proper divisors (1434855828).

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

638220492 is a wasteful number, since it uses less digits than its factorization.

638220492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9317 (or 9302 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 638220492 is about 25263.0261845251. The cubic root of 638220492 is about 860.9744192281.

The spelling of 638220492 in words is "six hundred thirty-eight million, two hundred twenty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 9277 9828 11466 17199 18554 22932 27831 34398 37108 55662 64939 68796 83493 111324 120601 129878 166986 194817 241202 250479 259756 333972 361803 389634 454573 482404 500958 584451 723606 779268 844207 909146 1001916 1085409 1168902 1363719 1447212 1688414 1753353 1818292 2170818 2337804 2532621 2727438 3256227 3376828 3506706 4091157 4341636 5065242 5454876 5909449 6512454 7013412 7597863 8182314 10130484 11818898 12273471 13024908 15195726 16364628 17728347 22793589 23637796 24546942 30391452 35456694 45587178 49093884 53185041 70913388 91174356 106370082 159555123 212740164 319110246 638220492