Search a number
-
+
152645262 = 237111632027
BaseRepresentation
bin10010001100100…
…10111010001110
3101122020011221020
421012102322032
5303034122022
623051415010
73532314630
oct1106227216
9348204836
10152645262
1179189710
1243154466
1325816c53
14163b6a50
15d60335c
hex9192e8e

152645262 has 64 divisors (see below), whose sum is σ = 383145984. Its totient is φ = 39385440.

The previous prime is 152645257. The next prime is 152645287. The reversal of 152645262 is 262546251.

152645262 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1526452622 = 46601152022097288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 74293 + ... + 76319.

It is an arithmetic number, because the mean of its divisors is an integer number (5986656).

Almost surely, 2152645262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152645262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191572992).

152645262 is an abundant number, since it is smaller than the sum of its proper divisors (230500722).

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

152645262 is a wasteful number, since it uses less digits than its factorization.

152645262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213.

The product of its digits is 28800, while the sum is 33.

The square root of 152645262 is about 12354.9691217744. The cubic root of 152645262 is about 534.4344470509.

The spelling of 152645262 in words is "one hundred fifty-two million, six hundred forty-five thousand, two hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 163 231 326 462 489 978 1141 1793 2027 2282 3423 3586 4054 5379 6081 6846 10758 12162 12551 14189 22297 25102 28378 37653 42567 44594 66891 75306 85134 133782 156079 312158 330401 468237 660802 936474 991203 1982406 2312807 3634411 4625614 6938421 7268822 10903233 13876842 21806466 25440877 50881754 76322631 152645262