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556936380 = 22325711213281
BaseRepresentation
bin100001001100100…
…010110010111100
31102210222022002100
4201030202302330
52120033431010
6131133025100
716541611140
oct4114426274
91383868070
10556936380
11266415600
12136625190
138b4cb770
1453d77220
1533d632c0
hex21322cbc

556936380 has 432 divisors, whose sum is σ = 2293566912. Its totient is φ = 106444800.

The previous prime is 556936363. The next prime is 556936381. The reversal of 556936380 is 83639655.

556936380 is a `hidden beast` number, since 5 + 5 + 6 + 9 + 3 + 638 + 0 = 666.

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 (556936381) 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 143 ways as a sum of consecutive naturals, for example, 1981840 + ... + 1982120.

Almost surely, 2556936380 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 556936380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146783456).

556936380 is an abundant number, since it is smaller than the sum of its proper divisors (1736630532).

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

556936380 is a wasteful number, since it uses less digits than its factorization.

556936380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 556936380 is about 23599.4995709655. The cubic root of 556936380 is about 822.7512091327.

The spelling of 556936380 in words is "five hundred fifty-six million, nine hundred thirty-six thousand, three hundred eighty".