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152768925 = 32527173131
BaseRepresentation
bin10010001101100…
…01000110011101
3101122110110120100
421012301012131
5303102101200
623054211313
73533341311
oct1106610635
9348413510
10152768925
1179263611
12431b3b39
132585b31a
1416409b41
15d629d00
hex91b119d

152768925 has 72 divisors (see below), whose sum is σ = 283428288. Its totient is φ = 78624000.

The previous prime is 152768849. The next prime is 152768951. The reversal of 152768925 is 529867251.

It is not a de Polignac number, because 152768925 - 28 = 152768669 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1166110 + ... + 1166240.

It is an arithmetic number, because the mean of its divisors is an integer number (3936504).

Almost surely, 2152768925 is an apocalyptic number.

152768925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152768925 is a deficient number, since it is larger than the sum of its proper divisors (130659363).

152768925 is a wasteful number, since it uses less digits than its factorization.

152768925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 152768925 is about 12359.9726941446. The cubic root of 152768925 is about 534.5787291313.

The spelling of 152768925 in words is "one hundred fifty-two million, seven hundred sixty-eight thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 71 73 75 131 213 219 225 355 365 393 639 655 657 1065 1095 1179 1775 1825 1965 3195 3275 3285 5183 5325 5475 5895 9301 9563 9825 15549 15975 16425 25915 27903 28689 29475 46505 46647 47815 77745 83709 86067 129575 139515 143445 232525 233235 239075 388725 418545 430335 678973 697575 717225 1166175 2036919 2092725 2151675 3394865 6110757 10184595 16974325 30553785 50922975 152768925