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152435412 = 22333721031
BaseRepresentation
bin10010001010111…
…11101011010100
3101121211112002000
421011133223110
5303010413122
623043115300
73530452053
oct1105375324
9347745060
10152435412
1179055a88
1243072b30
132577258c
141636039a
15d5b10ac
hex915fad4

152435412 has 72 divisors (see below), whose sum is σ = 406566720. Its totient is φ = 49390560.

The previous prime is 152435407. The next prime is 152435419. The reversal of 152435412 is 214534251.

152435412 is a `hidden beast` number, since 1 + 5 + 243 + 5 + 412 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152435419) 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, 147337 + ... + 148367.

It is an arithmetic number, because the mean of its divisors is an integer number (5646760).

Almost surely, 2152435412 is an apocalyptic number.

152435412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152435412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203283360).

152435412 is an abundant number, since it is smaller than the sum of its proper divisors (254131308).

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

152435412 is a wasteful number, since it uses less digits than its factorization.

152435412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1073 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 152435412 is about 12346.4736665981. The cubic root of 152435412 is about 534.1894290704.

Adding to 152435412 its reverse (214534251), we get a palindrome (366969663).

The spelling of 152435412 in words is "one hundred fifty-two million, four hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1031 1332 1369 1998 2062 2738 3093 3996 4107 4124 5476 6186 8214 9279 12321 12372 16428 18558 24642 27837 36963 37116 38147 49284 55674 73926 76294 111348 114441 147852 152588 228882 343323 457764 686646 1029969 1373292 1411439 2059938 2822878 4119876 4234317 5645756 8468634 12702951 16937268 25405902 38108853 50811804 76217706 152435412