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152465928 = 233171133307
BaseRepresentation
bin10010001011001…
…11001000001000
3101121220001221020
421011213020020
5303012402203
623043512440
73530640036
oct1105471010
9347801836
10152465928
11790769aa
1243088720
1325783434
141636b556
15d5ba153
hex9167208

152465928 has 64 divisors (see below), whose sum is σ = 407280960. Its totient is φ = 47394816.

The previous prime is 152465927. The next prime is 152465933. The reversal of 152465928 is 829564251.

152465928 is digitally balanced in base 3, 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 152465928.

It is not an unprimeable number, because it can be changed into a prime (152465927) 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, 44451 + ... + 47757.

It is an arithmetic number, because the mean of its divisors is an integer number (6363765).

Almost surely, 2152465928 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 152465928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203640480).

152465928 is an abundant number, since it is smaller than the sum of its proper divisors (254815032).

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

152465928 is a wasteful number, since it uses less digits than its factorization.

152465928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3442 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 152465928 is about 12347.7094232088. The cubic root of 152465928 is about 534.2250730999.

The spelling of 152465928 in words is "one hundred fifty-two million, four hundred sixty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 113 136 204 226 339 408 452 678 904 1356 1921 2712 3307 3842 5763 6614 7684 9921 11526 13228 15368 19842 23052 26456 39684 46104 56219 79368 112438 168657 224876 337314 373691 449752 674628 747382 1121073 1349256 1494764 2242146 2989528 4484292 6352747 8968584 12705494 19058241 25410988 38116482 50821976 76232964 152465928