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152427534 = 23724991039
BaseRepresentation
bin10010001010111…
…01110000001110
3101121211010021020
421011131300032
5303010140114
623043015010
73530420100
oct1105356016
9347733236
10152427534
1179050076
124306a466
132576bb0c
141635b570
15d5adaa9
hex915dc0e

152427534 has 48 divisors (see below), whose sum is σ = 355680000. Its totient is φ = 43421616.

The previous prime is 152427511. The next prime is 152427547. The reversal of 152427534 is 435724251.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 152427495 and 152427504.

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 23 ways as a sum of consecutive naturals, for example, 146187 + ... + 147225.

It is an arithmetic number, because the mean of its divisors is an integer number (7410000).

Almost surely, 2152427534 is an apocalyptic number.

152427534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152427534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177840000).

152427534 is an abundant number, since it is smaller than the sum of its proper divisors (203252466).

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

152427534 is a wasteful number, since it uses less digits than its factorization.

152427534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1550 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 152427534 is about 12346.1546240115. The cubic root of 152427534 is about 534.1802264476.

The spelling of 152427534 in words is "one hundred fifty-two million, four hundred twenty-seven thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 499 998 1039 1497 2078 2994 3117 3493 6234 6986 7273 10479 14546 20958 21819 24451 43638 48902 50911 73353 101822 146706 152733 305466 518461 1036922 1555383 3110766 3629227 7258454 10887681 21775362 25404589 50809178 76213767 152427534