Search a number
-
+
551496960 = 2832572977
BaseRepresentation
bin100000110111110…
…010110100000000
31102102201221121100
4200313302310000
52112140400320
6130420254400
716444434600
oct4067626400
91372657540
10551496960
1126333a913
12134841400
138a345981
145335cc00
153363b790
hex20df2d00

551496960 has 324 divisors, whose sum is σ = 2221924068. Its totient is φ = 125927424.

The previous prime is 551496943. The next prime is 551496961. The reversal of 551496960 is 69694155.

It is a happy number.

551496960 is a `hidden beast` number, since 551 + 4 + 9 + 6 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 379782144 + 171714816 = 19488^2 + 13104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551496961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 563992 + ... + 564968.

Almost surely, 2551496960 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 551496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110962034).

551496960 is an abundant number, since it is smaller than the sum of its proper divisors (1670427108).

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

551496960 is a wasteful number, since it uses less digits than its factorization.

551496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 551496960 is about 23483.9724067288. The cubic root of 551496960 is about 820.0639252167.

The spelling of 551496960 in words is "five hundred fifty-one million, four hundred ninety-six thousand, nine hundred sixty".