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252158067 = 3272833
BaseRepresentation
bin11110000011110…
…10000001110011
3122120110221211200
433001322001303
51004023024232
641004342243
76151210500
oct1701720163
9576427750
10252158067
1111a3780a7
1270544983
1340319a75
14256bc4a7
151720d77c
hexf07a073

252158067 has 36 divisors (see below), whose sum is σ = 428861160. Its totient is φ = 142354296.

The previous prime is 252158041. The next prime is 252158099. The reversal of 252158067 is 760851252.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

252158067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252158067 - 26 = 252158003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252158017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3038008 + ... + 3038090.

It is an arithmetic number, because the mean of its divisors is an integer number (11912810).

Almost surely, 2252158067 is an apocalyptic number.

252158067 is a deficient number, since it is larger than the sum of its proper divisors (176703093).

252158067 is an frugal number, since it uses more digits than its factorization.

252158067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 252158067 is about 15879.4857284485. The cubic root of 252158067 is about 631.7679967147.

The spelling of 252158067 in words is "two hundred fifty-two million, one hundred fifty-eight thousand, sixty-seven".

Divisors: 1 3 7 9 21 49 63 83 147 249 441 581 747 1743 4067 5229 6889 12201 20667 36603 48223 62001 144669 337561 434007 571787 1012683 1715361 3038049 4002509 5146083 12007527 28017563 36022581 84052689 252158067