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152432412 = 223112611721
BaseRepresentation
bin10010001010111…
…10111100011100
3101121211100221220
421011132330130
5303010314122
623043053340
73530440236
oct1105367434
9347740856
10152432412
1179053800
1243071250
13257710c2
141635d256
15d5b025c
hex915ef1c

152432412 has 72 divisors (see below), whose sum is σ = 397589136. Its totient is φ = 45408000.

The previous prime is 152432411. The next prime is 152432417. The reversal of 152432412 is 214234251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152432411) 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, 87712 + ... + 89432.

Almost surely, 2152432412 is an apocalyptic number.

152432412 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 152432412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198794568).

152432412 is an abundant number, since it is smaller than the sum of its proper divisors (245156724).

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

152432412 is a wasteful number, since it uses less digits than its factorization.

152432412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1798 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 152432412 is about 12346.3521738204. The cubic root of 152432412 is about 534.1859246818.

Adding to 152432412 its reverse (214234251), we get a palindrome (366666663).

The spelling of 152432412 in words is "one hundred fifty-two million, four hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 121 122 132 183 242 244 363 366 484 671 726 732 1342 1452 1721 2013 2684 3442 4026 5163 6884 7381 8052 10326 14762 18931 20652 22143 29524 37862 44286 56793 75724 88572 104981 113586 208241 209962 227172 314943 416482 419924 624723 629886 832964 1154791 1249446 1259772 2309582 2498892 3464373 4619164 6928746 12702701 13857492 25405402 38108103 50810804 76216206 152432412