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152114144 = 2571352237
BaseRepresentation
bin10010001000100…
…01001111100000
3101121020012101012
421010101033200
5302420123034
623032200052
73524643320
oct1104211740
9347205335
10152114144
1178956676
1242b39028
132568c290
14162b9280
15d54acce
hex91113e0

152114144 has 48 divisors (see below), whose sum is σ = 368591328. Its totient is φ = 60175872.

The previous prime is 152114129. The next prime is 152114153. The reversal of 152114144 is 441411251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23207 + ... + 29030.

It is an arithmetic number, because the mean of its divisors is an integer number (7678986).

Almost surely, 2152114144 is an apocalyptic number.

152114144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152114144 is an abundant number, since it is smaller than the sum of its proper divisors (216477184).

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

152114144 is a wasteful number, since it uses less digits than its factorization.

152114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52267 (or 52259 counting only the distinct ones).

The product of its digits is 640, while the sum is 23.

The square root of 152114144 is about 12333.4562876754. The cubic root of 152114144 is about 533.8138849321.

Adding to 152114144 its reverse (441411251), we get a palindrome (593525395).

The spelling of 152114144 in words is "one hundred fifty-two million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 52237 104474 208948 365659 417896 679081 731318 835792 1358162 1462636 1671584 2716324 2925272 4753567 5432648 5850544 9507134 10865296 11701088 19014268 21730592 38028536 76057072 152114144