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5285332224 = 28322293981
BaseRepresentation
bin1001110110000011…
…11100010100000000
3111122100021200210100
410323001330110000
541311021112344
62232243002400
7244655403564
oct47301742400
914570250710
105285332224
112272483367
121036069400
13662cc2323
14381d376a4
1520e019569
hex13b07c500

5285332224 has 54 divisors (see below), whose sum is σ = 15238922426. Its totient is φ = 1761776640.

The previous prime is 5285332223. The next prime is 5285332231. The reversal of 5285332224 is 4222335825.

It can be written as a sum of positive squares in only one way, i.e., 5246394624 + 38937600 = 72432^2 + 6240^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5285332223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1144687 + ... + 1149294.

Almost surely, 25285332224 is an apocalyptic number.

It is an amenable number.

5285332224 is an abundant number, since it is smaller than the sum of its proper divisors (9953590202).

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

5285332224 is a wasteful number, since it uses less digits than its factorization.

5285332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294003 (or 2293986 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 5285332224 is about 72700.2903983196. The cubic root of 5285332224 is about 1741.9035212699.

The spelling of 5285332224 in words is "five billion, two hundred eighty-five million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2293981 4587962 6881943 9175924 13763886 18351848 20645829 27527772 36703696 41291658 55055544 73407392 82583316 110111088 146814784 165166632 220222176 293629568 330333264 440444352 587259136 660666528 880888704 1321333056 1761777408 2642666112 5285332224