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252158025 = 352717191487
BaseRepresentation
bin11110000011110…
…10000001001001
3122120110221210010
433001322001021
51004023024100
641004342133
76151210410
oct1701720111
9576427703
10252158025
1111a378069
1270544949
1340319a42
14256bc477
151720d750
hexf07a049

252158025 has 96 divisors (see below), whose sum is σ = 531394560. Its totient is φ = 102712320.

The previous prime is 252158017. The next prime is 252158029. The reversal of 252158025 is 520851252.

It is not a de Polignac number, because 252158025 - 23 = 252158017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252157983 and 252158001.

It is not an unprimeable number, because it can be changed into a prime (252158029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168832 + ... + 170318.

It is an arithmetic number, because the mean of its divisors is an integer number (5535360).

Almost surely, 2252158025 is an apocalyptic number.

252158025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252158025 is an abundant number, since it is smaller than the sum of its proper divisors (279236535).

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

252158025 is a wasteful number, since it uses less digits than its factorization.

252158025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 252158025 is about 15879.4844059875. The cubic root of 252158025 is about 631.7679616385.

The spelling of 252158025 in words is "two hundred fifty-two million, one hundred fifty-eight thousand, twenty-five".

Divisors: 1 3 5 7 15 17 19 21 25 35 51 57 75 85 95 105 119 133 175 255 285 323 357 399 425 475 525 595 665 969 1275 1425 1487 1615 1785 1995 2261 2975 3325 4461 4845 6783 7435 8075 8925 9975 10409 11305 22305 24225 25279 28253 31227 33915 37175 52045 56525 75837 84759 111525 126395 141265 156135 169575 176953 197771 260225 379185 423795 480301 530859 593313 631975 706325 780675 884765 988855 1440903 1895925 2118975 2401505 2654295 2966565 3362107 4423825 4944275 7204515 10086321 12007525 13271475 14832825 16810535 36022575 50431605 84052675 252158025