Search a number
-
+
553009248 = 253311311877
BaseRepresentation
bin100000111101100…
…100000001100000
31102112120210002000
4200331210001200
52113032243443
6130512524000
716463333601
oct4075440140
91375523060
10553009248
11264183040
12135250600
138a75510c
1453633da8
15338398d3
hex20f64060

553009248 has 192 divisors, whose sum is σ = 1817303040. Its totient is φ = 162086400.

The previous prime is 553009229. The next prime is 553009291. The reversal of 553009248 is 842900355.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293686 + ... + 295562.

It is an arithmetic number, because the mean of its divisors is an integer number (9465120).

Almost surely, 2553009248 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 553009248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908651520).

553009248 is an abundant number, since it is smaller than the sum of its proper divisors (1264293792).

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

553009248 is a wasteful number, since it uses less digits than its factorization.

553009248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1924 counting only the distinct ones).

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

The square root of 553009248 is about 23516.1486642690. The cubic root of 553009248 is about 820.8128208387.

The spelling of 553009248 in words is "five hundred fifty-three million, nine thousand, two hundred forty-eight".