Search a number
-
+
3125442096 = 2432737471783
BaseRepresentation
bin1011101001001010…
…0111011000110000
322001211001220112200
42322102213120300
522400103121341
61234045023200
7140310551040
oct27222473060
98054056480
103125442096
1113642599a7
12732854b00
133aa69552a
1421913b720
151345c1db6
hexba4a7630

3125442096 has 240 divisors, whose sum is σ = 10490947584. Its totient is φ = 849885696.

The previous prime is 3125442077. The next prime is 3125442109. The reversal of 3125442096 is 6902445213.

It is a happy number.

3125442096 is a `hidden beast` number, since 3 + 1 + 2 + 544 + 20 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3125442096.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1752021 + ... + 1753803.

Almost surely, 23125442096 is an apocalyptic number.

3125442096 is a gapful number since it is divisible by the number (36) 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 3125442096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245473792).

3125442096 is an abundant number, since it is smaller than the sum of its proper divisors (7365505488).

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

3125442096 is a wasteful number, since it uses less digits than its factorization.

3125442096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3125442096 is about 55905.6535244871. The cubic root of 3125442096 is about 1462.0778096713.

The spelling of 3125442096 in words is "three billion, one hundred twenty-five million, four hundred forty-two thousand, ninety-six".