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152275032 = 233371361127
BaseRepresentation
bin10010001001110…
…00100001011000
3101121112101002000
421010320201120
5302440300112
623035441000
73526213350
oct1104704130
9347471060
10152275032
1178a56538
1242bb6160
1325717590
141631bb60
15d57d7dc
hex9138858

152275032 has 256 divisors, whose sum is σ = 533299200. Its totient is φ = 39191040.

The previous prime is 152275031. The next prime is 152275033. The reversal of 152275032 is 230572251.

152275032 is a `hidden beast` number, since 152 + 2 + 7 + 503 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (152275031) and next prime (152275033).

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 152275032 = 123 + 5343 = 2463 + 5163.

It is a junction number, because it is equal to n+sod(n) for n = 152274987 and 152275005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152275031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1198953 + ... + 1199079.

It is an arithmetic number, because the mean of its divisors is an integer number (2083200).

Almost surely, 2152275032 is an apocalyptic number.

152275032 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 152275032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266649600).

152275032 is an abundant number, since it is smaller than the sum of its proper divisors (381024168).

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

152275032 is a wasteful number, since it uses less digits than its factorization.

152275032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 152275032 is about 12339.9769853918. The cubic root of 152275032 is about 534.0020199393.

The spelling of 152275032 in words is "one hundred fifty-two million, two hundred seventy-five thousand, thirty-two".