Search a number
-
+
152764902 = 232194211061
BaseRepresentation
bin10010001101100…
…00000111100110
3101122110021001100
421012300013212
5303101434102
623054140530
73533323503
oct1106600746
9348407040
10152764902
1179260594
12431b1746
1325859544
14164084aa
15d628a1c
hex91b01e6

152764902 has 48 divisors (see below), whose sum is σ = 349567920. Its totient is φ = 48081600.

The previous prime is 152764901. The next prime is 152764957. The reversal of 152764902 is 209467251.

152764902 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 649 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152764901) 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, 143452 + ... + 144512.

It is an arithmetic number, because the mean of its divisors is an integer number (7282665).

Almost surely, 2152764902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152764902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174783960).

152764902 is an abundant number, since it is smaller than the sum of its proper divisors (196803018).

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

152764902 is a wasteful number, since it uses less digits than its factorization.

152764902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 152764902 is about 12359.8099499952. The cubic root of 152764902 is about 534.5740365777.

The spelling of 152764902 in words is "one hundred fifty-two million, seven hundred sixty-four thousand, nine hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 421 842 1061 1263 2122 2526 3183 3789 6366 7578 7999 9549 15998 19098 20159 23997 40318 47994 60477 71991 120954 143982 181431 362862 446681 893362 1340043 2680086 4020129 8040258 8486939 16973878 25460817 50921634 76382451 152764902