Search a number
-
+
152126688 = 2537226379
BaseRepresentation
bin10010001000101…
…00010011100000
3101121020211120210
421010110103200
5302421023223
623032334120
73525025020
oct1104242340
9347224523
10152126688
117896503a
1242b44340
1325694bbc
14162bda80
15d54e893
hex91144e0

152126688 has 48 divisors (see below), whose sum is σ = 456382080. Its totient is φ = 43464576.

The previous prime is 152126683. The next prime is 152126701. The reversal of 152126688 is 886621251.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152126683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112518 + ... + 113861.

It is an arithmetic number, because the mean of its divisors is an integer number (9507960).

Almost surely, 2152126688 is an apocalyptic number.

It is an amenable number.

152126688 is an abundant number, since it is smaller than the sum of its proper divisors (304255392).

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

152126688 is a wasteful number, since it uses less digits than its factorization.

152126688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226399 (or 226391 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 152126688 is about 12333.9648126626. The cubic root of 152126688 is about 533.8285580741.

The spelling of 152126688 in words is "one hundred fifty-two million, one hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 226379 452758 679137 905516 1358274 1584653 1811032 2716548 3169306 3622064 4753959 5433096 6338612 7244128 9507918 10866192 12677224 19015836 21732384 25354448 38031672 50708896 76063344 152126688