Search a number
-
+
5552609400 = 233352131923181
BaseRepresentation
bin1010010101111011…
…00001100001111000
3112022222012210011000
411022331201201320
542332432000100
62314551405000
7254412254412
oct51275414170
915288183130
105552609400
11239a337698
1210ab683760
136a64a39c0
143a962d9b2
15227712900
hex14af61878

5552609400 has 768 divisors, whose sum is σ = 22748544000. Its totient is φ = 1231718400.

The previous prime is 5552609399. The next prime is 5552609417. The reversal of 5552609400 is 49062555.

5552609400 is a `hidden beast` number, since 5 + 5 + 5 + 2 + 609 + 40 + 0 = 666.

It is a super-2 number, since 2×55526094002 = 61662942297936720000, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 30677310 + ... + 30677490.

It is an arithmetic number, because the mean of its divisors is an integer number (29620500).

Almost surely, 25552609400 is an apocalyptic number.

5552609400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5552609400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11374272000).

5552609400 is an abundant number, since it is smaller than the sum of its proper divisors (17195934600).

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

5552609400 is a wasteful number, since it uses less digits than its factorization.

5552609400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5552609400 is about 74515.8332168406. The cubic root of 5552609400 is about 1770.7844842011.

The spelling of 5552609400 in words is "five billion, five hundred fifty-two million, six hundred nine thousand, four hundred".