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152423856 = 24341383109
BaseRepresentation
bin10010001010111…
…00110110110000
3101121210221020000
421011130312300
5303010030411
623042550000
73530403264
oct1105346660
9347727200
10152423856
1179048332
1243068300
132576a240
141635a0a4
15d5ac956
hex915cdb0

152423856 has 200 divisors, whose sum is σ = 485229360. Its totient is φ = 45909504.

The previous prime is 152423849. The next prime is 152423881. The reversal of 152423856 is 658324251.

152423856 is a `hidden beast` number, since 152 + 423 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (57600) is a multiple of the sum of its prime factors (225).

It is a self number, because there is not a number n which added to its sum of digits gives 152423856.

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 39 ways as a sum of consecutive naturals, for example, 1398330 + ... + 1398438.

Almost surely, 2152423856 is an apocalyptic number.

152423856 is a gapful number since it is divisible by the number (16) 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 152423856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242614680).

152423856 is an abundant number, since it is smaller than the sum of its proper divisors (332805504).

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

152423856 is a wasteful number, since it uses less digits than its factorization.

152423856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 152423856 is about 12346.0056698513. The cubic root of 152423856 is about 534.1759299127.

The spelling of 152423856 in words is "one hundred fifty-two million, four hundred twenty-three thousand, eight hundred fifty-six".