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553313088 = 26321138501
BaseRepresentation
bin100000111110101…
…110001101000000
31102120011012212100
4200332232031000
52113122004323
6130523230400
716466040456
oct4076561500
91376135770
10553313088
11264370349
12135378400
138a8304c3
14536b29d6
1533899943
hex20fae340

553313088 has 84 divisors (see below), whose sum is σ = 1600195428. Its totient is φ = 182784000.

The previous prime is 553313083. The next prime is 553313099. The reversal of 553313088 is 880313355.

It can be written as a sum of positive squares in 2 ways, for example, as 24681024 + 528632064 = 4968^2 + 22992^2 .

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 (553313083) 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 11 ways as a sum of consecutive naturals, for example, 60838 + ... + 69338.

Almost surely, 2553313088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800097714).

553313088 is an abundant number, since it is smaller than the sum of its proper divisors (1046882340).

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

553313088 is a wasteful number, since it uses less digits than its factorization.

553313088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8632 (or 8619 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 553313088 is about 23522.6080186700. The cubic root of 553313088 is about 820.9631197756.

The spelling of 553313088 in words is "five hundred fifty-three million, three hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 144 192 226 288 339 452 576 678 904 1017 1356 1808 2034 2712 3616 4068 5424 7232 8136 8501 10848 16272 17002 21696 25503 32544 34004 51006 65088 68008 76509 102012 136016 153018 204024 272032 306036 408048 544064 612072 816096 960613 1224144 1632192 1921226 2448288 2881839 3842452 4896576 5763678 7684904 8645517 11527356 15369808 17291034 23054712 30739616 34582068 46109424 61479232 69164136 92218848 138328272 184437696 276656544 553313088