Search a number
-
+
557685840 = 24352323691
BaseRepresentation
bin100001001111011…
…001110001010000
31102212101101011010
4201033121301100
52120231421330
6131201050520
716551152145
oct4117316120
91385341133
10557685840
11266887698
12136926a40
138b70192a
14540d03cc
1533e603b0
hex213d9c50

557685840 has 40 divisors (see below), whose sum is σ = 1728826848. Its totient is φ = 148716160.

The previous prime is 557685787. The next prime is 557685847. The reversal of 557685840 is 48586755.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×5576858402 = 622026992273011200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 557685840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557685847) 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 7 ways as a sum of consecutive naturals, for example, 1161606 + ... + 1162085.

Almost surely, 2557685840 is an apocalyptic number.

It is an amenable number.

557685840 is an abundant number, since it is smaller than the sum of its proper divisors (1171141008).

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

557685840 is a wasteful number, since it uses less digits than its factorization.

557685840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323707 (or 2323701 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The square root of 557685840 is about 23615.3729591552. The cubic root of 557685840 is about 823.1200979074.

The spelling of 557685840 in words is "five hundred fifty-seven million, six hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2323691 4647382 6971073 9294764 11618455 13942146 18589528 23236910 27884292 34855365 37179056 46473820 55768584 69710730 92947640 111537168 139421460 185895280 278842920 557685840