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1152204516 = 223256956249
BaseRepresentation
bin100010010101101…
…0011111011100100
32222022002001110100
41010223103323210
54324431021031
6310155424100
740360401561
oct10453237344
92868061410
101152204516
11541431341
12281a55030
1315492b628
14ad04b868
156b248de6
hex44ad3ee4

1152204516 has 36 divisors (see below), whose sum is σ = 2917687500. Its totient is φ = 383386368.

The previous prime is 1152204511. The next prime is 1152204533. The reversal of 1152204516 is 6154022511.

1152204516 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 660695616 + 491508900 = 25704^2 + 22170^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1152204516.

It is not an unprimeable number, because it can be changed into a prime (1152204511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7641 + ... + 48608.

It is an arithmetic number, because the mean of its divisors is an integer number (81046875).

Almost surely, 21152204516 is an apocalyptic number.

It is an amenable number.

1152204516 is an abundant number, since it is smaller than the sum of its proper divisors (1765482984).

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

1152204516 is a wasteful number, since it uses less digits than its factorization.

1152204516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56828 (or 56823 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1152204516 is about 33944.1381684673. The cubic root of 1152204516 is about 1048.3585891456.

The spelling of 1152204516 in words is "one billion, one hundred fifty-two million, two hundred four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 569 1138 1707 2276 3414 5121 6828 10242 20484 56249 112498 168747 224996 337494 506241 674988 1012482 2024964 32005681 64011362 96017043 128022724 192034086 288051129 384068172 576102258 1152204516