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152828364 = 223134322783
BaseRepresentation
bin10010001101111…
…11100111001100
3101122120111002210
421012333213030
5303111001424
623055350420
73534006513
oct1106774714
9348514083
10152828364
11792a4237
1243222410
132587c3b0
141642367a
15d63c729
hex91bf9cc

152828364 has 48 divisors (see below), whose sum is σ = 392978432. Its totient is φ = 45928512.

The previous prime is 152828359. The next prime is 152828369. The reversal of 152828364 is 463828251.

It is an interprime number because it is at equal distance from previous prime (152828359) and next prime (152828369).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (152828369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4684 + ... + 18099.

Almost surely, 2152828364 is an apocalyptic number.

It is an amenable number.

152828364 is an abundant number, since it is smaller than the sum of its proper divisors (240150068).

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

152828364 is a wasteful number, since it uses less digits than its factorization.

152828364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22846 (or 22844 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 152828364 is about 12362.3769559094. The cubic root of 152828364 is about 534.6480510500.

It can be divided in two parts, 1528 and 28364, that added together give a palindrome (29892).

The spelling of 152828364 in words is "one hundred fifty-two million, eight hundred twenty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 22783 45566 68349 91132 136698 273396 296179 592358 888537 979669 1184716 1777074 1959338 2939007 3554148 3918676 5878014 11756028 12735697 25471394 38207091 50942788 76414182 152828364