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152819044 = 22728832
BaseRepresentation
bin10010001101111…
…01010101100100
3101122120000022121
421012331111210
5303110202134
623055235324
73533640400
oct1106752544
9348500277
10152819044
1179298234
1243218b44
1325878091
1416420100
15d639ab4
hex91bd564

152819044 has 27 divisors (see below), whose sum is σ = 311448627. Its totient is φ = 65419704.

The previous prime is 152819041. The next prime is 152819047. The reversal of 152819044 is 440918251.

It is a happy number.

The square root of 152819044 is 12362.

It is a perfect power (a square), and thus also a powerful number.

152819044 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152819041) and next prime (152819047).

It is not an unprimeable number, because it can be changed into a prime (152819041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 172627 + ... + 173509.

Almost surely, 2152819044 is an apocalyptic number.

152819044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

152819044 is the 12362-nd square number.

It is an amenable number.

152819044 is an abundant number, since it is smaller than the sum of its proper divisors (158629583).

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

152819044 is an frugal number, since it uses more digits than its factorization.

152819044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The cubic root of 152819044 is about 534.6371826025.

The spelling of 152819044 in words is "one hundred fifty-two million, eight hundred nineteen thousand, forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 883 1766 3532 6181 12362 24724 43267 86534 173068 779689 1559378 3118756 5457823 10915646 21831292 38204761 76409522 152819044