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152484264 = 23322697873
BaseRepresentation
bin10010001011010…
…11100110101000
3101121221000002100
421011223212220
5303013444024
623044133400
73531044352
oct1105534650
9347830070
10152484264
1179089759
1243097260
132578b89a
14163740d2
15d5c07c9
hex916b9a8

152484264 has 48 divisors (see below), whose sum is σ = 414566100. Its totient is φ = 50632704.

The previous prime is 152484263. The next prime is 152484301. The reversal of 152484264 is 462484251.

152484264 is a `hidden beast` number, since 152 + 484 + 26 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108368100 + 44116164 = 10410^2 + 6642^2 .

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

It is not an unprimeable number, because it can be changed into a prime (152484263) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15432 + ... + 23304.

Almost surely, 2152484264 is an apocalyptic number.

It is an amenable number.

152484264 is an abundant number, since it is smaller than the sum of its proper divisors (262081836).

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

152484264 is a wasteful number, since it uses less digits than its factorization.

152484264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154 (or 8147 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 152484264 is about 12348.4518867751. The cubic root of 152484264 is about 534.2464880666.

It can be divided in two parts, 152 and 484264, that added together give a square (484416 = 6962).

The spelling of 152484264 in words is "one hundred fifty-two million, four hundred eighty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 269 538 807 1076 1614 2152 2421 3228 4842 6456 7873 9684 15746 19368 23619 31492 47238 62984 70857 94476 141714 188952 283428 566856 2117837 4235674 6353511 8471348 12707022 16942696 19060533 25414044 38121066 50828088 76242132 152484264