Base | Representation |
---|---|
bin | 10010001100000… |
… | …10000101100000 |
3 | 101122002200102000 |
4 | 21012002011200 |
5 | 303024420402 |
6 | 23050124000 |
7 | 3531610005 |
oct | 1106020540 |
9 | 348080360 |
10 | 152576352 |
11 | 79141965 |
12 | 43120600 |
13 | 257c1786 |
14 | 163998ac |
15 | d5dcc1c |
hex | 9182160 |
152576352 has 96 divisors (see below), whose sum is σ = 448610400. Its totient is φ = 50448384.
The previous prime is 152576323. The next prime is 152576363. The reversal of 152576352 is 253675251.
152576352 is a `hidden beast` number, since 1 + 52 + 576 + 35 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117724 + ... + 119012.
It is an arithmetic number, because the mean of its divisors is an integer number (4673025).
Almost surely, 2152576352 is an apocalyptic number.
152576352 is a gapful number since it is divisible by the number (12) 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 152576352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224305200).
152576352 is an abundant number, since it is smaller than the sum of its proper divisors (296034048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152576352 is a wasteful number, since it uses less digits than its factorization.
152576352 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1445 (or 1431 counting only the distinct ones).
The product of its digits is 63000, while the sum is 36.
The square root of 152576352 is about 12352.1800505012. The cubic root of 152576352 is about 534.3540134571.
It can be divided in two parts, 15257 and 6352, that added together give a square (21609 = 1472).
The spelling of 152576352 in words is "one hundred fifty-two million, five hundred seventy-six thousand, three hundred fifty-two".
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