Search a number
-
+
152533424 = 2423478819
BaseRepresentation
bin10010001011101…
…11100110110000
3101122000111112002
421011313212300
5303022032144
623045153132
73531340601
oct1105674660
9348014462
10152533424
117911268a
12430bb7a8
13257a8084
1416387da8
15d5d014e
hex91779b0

152533424 has 40 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 71390528.

The previous prime is 152533411. The next prime is 152533429. The reversal of 152533424 is 424335251.

It is a happy number.

152533424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (152533429) 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, 12887 + ... + 21705.

It is an arithmetic number, because the mean of its divisors is an integer number (7874496).

Almost surely, 2152533424 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 152533424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

152533424 is an abundant number, since it is smaller than the sum of its proper divisors (162446416).

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

152533424 is a wasteful number, since it uses less digits than its factorization.

152533424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8897 (or 8891 counting only the distinct ones).

The product of its digits is 14400, while the sum is 29.

The square root of 152533424 is about 12350.4422592877. The cubic root of 152533424 is about 534.3038945048.

Adding to 152533424 its reverse (424335251), we get a palindrome (576868675).

The spelling of 152533424 in words is "one hundred fifty-two million, five hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 752 1081 2162 4324 8648 8819 17296 17638 35276 70552 141104 202837 405674 414493 811348 828986 1622696 1657972 3245392 3315944 6631888 9533339 19066678 38133356 76266712 152533424