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553320352 = 25131778241
BaseRepresentation
bin100000111110101…
…111111110100000
31102120011120211101
4200332233332200
52113122222402
6130523324144
716466100604
oct4076577640
91376146741
10553320352
11264375852
12135380654
138a8338c0
14536b5504
153389bb87
hex20faffa0

553320352 has 48 divisors (see below), whose sum is σ = 1242169992. Its totient is φ = 240353280.

The previous prime is 553320347. The next prime is 553320359. The reversal of 553320352 is 253023355.

It can be written as a sum of positive squares in 4 ways, for example, as 545502736 + 7817616 = 23356^2 + 2796^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 553320352.

It is not an unprimeable number, because it can be changed into a prime (553320359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32049 + ... + 46192.

Almost surely, 2553320352 is an apocalyptic number.

553320352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

553320352 is an abundant number, since it is smaller than the sum of its proper divisors (688849640).

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

553320352 is a wasteful number, since it uses less digits than its factorization.

553320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78281 (or 78273 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 28.

The square root of 553320352 is about 23522.7624228108. The cubic root of 553320352 is about 820.9667123468.

The spelling of 553320352 in words is "five hundred fifty-three million, three hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 78241 156482 312964 625928 1017133 1251856 1330097 2034266 2503712 2660194 4068532 5320388 8137064 10640776 16274128 17291261 21281552 32548256 34582522 42563104 69165044 138330088 276660176 553320352