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1642906608 = 2437291391213
BaseRepresentation
bin110000111101100…
…1100001111110000
311020111102022011220
41201323030033300
511331041002413
6431005105040
755466322120
oct14173141760
94214368156
101642906608
11773418062
1239a258180
132024a95b5
141182a2c80
1599377223
hex61ecc3f0

1642906608 has 160 divisors (see below), whose sum is σ = 5058009600. Its totient is φ = 449584128.

The previous prime is 1642906589. The next prime is 1642906609. The reversal of 1642906608 is 8066092461.

It is a super-2 number, since 2×16429066082 = 5398284245220131328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1642906608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642906609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1353810 + ... + 1355022.

It is an arithmetic number, because the mean of its divisors is an integer number (31612560).

Almost surely, 21642906608 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 1642906608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529004800).

1642906608 is an abundant number, since it is smaller than the sum of its proper divisors (3415102992).

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

1642906608 is a wasteful number, since it uses less digits than its factorization.

1642906608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1642906608 is about 40532.7843603175. The cubic root of 1642906608 is about 1179.9699810423.

The spelling of 1642906608 in words is "one billion, six hundred forty-two million, nine hundred six thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 139 168 174 203 232 278 336 348 406 417 464 556 609 696 812 834 973 1112 1213 1218 1392 1624 1668 1946 2224 2426 2436 2919 3248 3336 3639 3892 4031 4852 4872 5838 6672 7278 7784 8062 8491 9704 9744 11676 12093 14556 15568 16124 16982 19408 23352 24186 25473 28217 29112 32248 33964 35177 46704 48372 50946 56434 58224 64496 67928 70354 84651 96744 101892 105531 112868 135856 140708 168607 169302 193488 203784 211062 225736 246239 281416 337214 338604 407568 422124 451472 492478 505821 562832 674428 677208 738717 844248 984956 1011642 1180249 1348856 1354416 1477434 1688496 1969912 2023284 2360498 2697712 2954868 3540747 3939824 4046568 4720996 4889603 5909736 7081494 8093136 9441992 9779206 11819472 14162988 14668809 18883984 19558412 28325976 29337618 34227221 39116824 56651952 58675236 68454442 78233648 102681663 117350472 136908884 205363326 234700944 273817768 410726652 547635536 821453304 1642906608