Search a number
-
+
1556125536 = 253721923757
BaseRepresentation
bin101110011000000…
…1001011101100000
311000110010100221010
41130300021131200
511141332004121
6414225100520
753363564100
oct13460113540
94013110833
101556125536
11729435169
12375187740
131ba513854
1410a953200
1591934376
hex5cc09760

1556125536 has 288 divisors, whose sum is σ = 5226197760. Its totient is φ = 402361344.

The previous prime is 1556125477. The next prime is 1556125537. The reversal of 1556125536 is 6355216551.

It is a junction number, because it is equal to n+sod(n) for n = 1556125494 and 1556125503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1556125537) 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 47 ways as a sum of consecutive naturals, for example, 2055270 + ... + 2056026.

It is an arithmetic number, because the mean of its divisors is an integer number (18146520).

Almost surely, 21556125536 is an apocalyptic number.

1556125536 is a gapful number since it is divisible by the number (16) 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 1556125536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613098880).

1556125536 is an abundant number, since it is smaller than the sum of its proper divisors (3670072224).

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

1556125536 is a wasteful number, since it uses less digits than its factorization.

1556125536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 811 counting only the distinct ones).

The product of its digits is 135000, while the sum is 39.

The square root of 1556125536 is about 39447.7570465039. The cubic root of 1556125536 is about 1158.8170501006.

The spelling of 1556125536 in words is "one billion, five hundred fifty-six million, one hundred twenty-five thousand, five hundred thirty-six".