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149787564 = 22319271487
BaseRepresentation
bin10001110110110…
…01001110101100
3101102211222220120
420323121032230
5301321200224
622510244540
73466113303
oct1073311654
9342758816
10149787564
1177607683
12421b6750
13250562c4
1415c7143a
15d23b779
hex8ed93ac

149787564 has 72 divisors (see below), whose sum is σ = 374830848. Its totient is φ = 46539360.

The previous prime is 149787563. The next prime is 149787587. The reversal of 149787564 is 465787941.

It is not an unprimeable number, because it can be changed into a prime (149787563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307329 + ... + 307815.

It is an arithmetic number, because the mean of its divisors is an integer number (5205984).

Almost surely, 2149787564 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 149787564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187415424).

149787564 is an abundant number, since it is smaller than the sum of its proper divisors (225043284).

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

149787564 is a wasteful number, since it uses less digits than its factorization.

149787564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 582 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 149787564 is about 12238.7729777131. The cubic root of 149787564 is about 531.0783361576.

The spelling of 149787564 in words is "one hundred forty-nine million, seven hundred eighty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 114 142 213 228 284 361 426 487 722 852 974 1083 1349 1444 1461 1948 2166 2698 2922 4047 4332 5396 5844 8094 9253 16188 18506 25631 27759 34577 37012 51262 55518 69154 76893 102524 103731 111036 138308 153786 175807 207462 307572 351614 414924 527421 656963 703228 1054842 1313926 1970889 2109684 2627852 3941778 7883556 12482297 24964594 37446891 49929188 74893782 149787564