Search a number
-
+
152916828 = 223101281449
BaseRepresentation
bin10010001110101…
…01001101011100
3101122201222110020
421013111031130
5303121314303
623101312140
73534525441
oct1107251534
9348658406
10152916828
1179354749
1243265650
13258b073c
14164479c8
15d658a53
hex91d535c

152916828 has 48 divisors (see below), whose sum is σ = 362426400. Its totient is φ = 50176000.

The previous prime is 152916821. The next prime is 152916833. The reversal of 152916828 is 828619251.

It is a happy number.

152916828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152916828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152916821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340348 + ... + 340796.

It is an arithmetic number, because the mean of its divisors is an integer number (7550550).

Almost surely, 2152916828 is an apocalyptic number.

It is an amenable number.

152916828 is an abundant number, since it is smaller than the sum of its proper divisors (209509572).

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

152916828 is a wasteful number, since it uses less digits than its factorization.

152916828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 836 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 152916828 is about 12365.9543909882. The cubic root of 152916828 is about 534.7511906788.

The spelling of 152916828 in words is "one hundred fifty-two million, nine hundred sixteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 101 202 281 303 404 449 562 606 843 898 1124 1212 1347 1686 1796 2694 3372 5388 28381 45349 56762 85143 90698 113524 126169 136047 170286 181396 252338 272094 340572 378507 504676 544188 757014 1514028 12743069 25486138 38229207 50972276 76458414 152916828