Search a number
-
+
152729244 = 2232137173179
BaseRepresentation
bin10010001101001…
…11011010011100
3101122101110010200
421012213122130
5303044313434
623053303500
73533114523
oct1106473234
9348343120
10152729244
1179236818
1243194b90
1325846245
14163d94ba
15d61d199
hex91a769c

152729244 has 72 divisors (see below), whose sum is σ = 393316560. Its totient is φ = 49965312.

The previous prime is 152729243. The next prime is 152729263. The reversal of 152729244 is 442927251.

152729244 is a `hidden beast` number, since 1 + 527 + 2 + 92 + 44 = 666.

152729244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 152729199 and 152729208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152729243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853147 + ... + 853325.

It is an arithmetic number, because the mean of its divisors is an integer number (5462730).

Almost surely, 2152729244 is an apocalyptic number.

It is an amenable number.

152729244 is an abundant number, since it is smaller than the sum of its proper divisors (240587316).

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

152729244 is a wasteful number, since it uses less digits than its factorization.

152729244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 494 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 152729244 is about 12358.3673679010. The cubic root of 152729244 is about 534.5324403644.

The spelling of 152729244 in words is "one hundred fifty-two million, seven hundred twenty-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 137 173 179 274 346 358 411 519 537 548 692 716 822 1038 1074 1233 1557 1611 1644 2076 2148 2466 3114 3222 4932 6228 6444 23701 24523 30967 47402 49046 61934 71103 73569 92901 94804 98092 123868 142206 147138 185802 213309 220707 278703 284412 294276 371604 426618 441414 557406 853236 882828 1114812 4242479 8484958 12727437 16969916 25454874 38182311 50909748 76364622 152729244