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152810814 = 23132374073
BaseRepresentation
bin10010001101110…
…11010100111110
3101122112121000210
421012323110332
5303104421224
623055133250
73533604402
oct1106732476
9348477023
10152810814
1179292032
1243214226
1325874400
141641b102
15d637429
hex91bb53e

152810814 has 48 divisors (see below), whose sum is σ = 339967152. Its totient is φ = 45736704.

The previous prime is 152810809. The next prime is 152810837. The reversal of 152810814 is 418018251.

It is a happy number.

It is a super-2 number, since 2×1528108142 = 46702289750685192, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35482 + ... + 39554.

It is an arithmetic number, because the mean of its divisors is an integer number (7082649).

Almost surely, 2152810814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152810814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169983576).

152810814 is an abundant number, since it is smaller than the sum of its proper divisors (187156338).

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

152810814 is a wasteful number, since it uses less digits than its factorization.

152810814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 152810814 is about 12361.6671205788. The cubic root of 152810814 is about 534.6275848829.

The spelling of 152810814 in words is "one hundred fifty-two million, eight hundred ten thousand, eight hundred fourteen".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 169 222 338 481 507 962 1014 1443 2886 4073 6253 8146 12219 12506 18759 24438 37518 52949 105898 150701 158847 301402 317694 452103 688337 904206 1376674 1959113 2065011 3918226 4130022 5877339 11754678 25468469 50936938 76405407 152810814