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152440164 = 223311312491
BaseRepresentation
bin10010001011000…
…00110101100100
3101121211202121000
421011200311210
5303011041124
623043153300
73530501652
oct1105406544
9347752530
10152440164
1179059608
1243075830
13257747a6
1416361dd2
15d5b26c9
hex9160d64

152440164 has 48 divisors (see below), whose sum is σ = 398744640. Its totient is φ = 50359680.

The previous prime is 152440163. The next prime is 152440199. The reversal of 152440164 is 461044251.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (152440163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5959 + ... + 18449.

It is an arithmetic number, because the mean of its divisors is an integer number (8307180).

Almost surely, 2152440164 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 152440164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199372320).

152440164 is an abundant number, since it is smaller than the sum of its proper divisors (246304476).

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

152440164 is a wasteful number, since it uses less digits than its factorization.

152440164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12617 (or 12609 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 152440164 is about 12346.6661087113. Note that the first 3 decimals coincide. The cubic root of 152440164 is about 534.1949799280.

The spelling of 152440164 in words is "one hundred fifty-two million, four hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 6102 12204 12491 24982 37473 49964 74946 112419 149892 224838 337257 449676 674514 1349028 1411483 2822966 4234449 5645932 8468898 12703347 16937796 25406694 38110041 50813388 76220082 152440164