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1975849140 = 22351719432371
BaseRepresentation
bin111010111000101…
…0001000010110100
312002200220112110210
41311301101002310
513021304133030
6524021145420
766651304056
oct16561210264
95080815423
101975849140
11924351781
1247185b270
1325646c805
1414a5ad8d6
15b86e1bb0
hex75c510b4

1975849140 has 192 divisors, whose sum is σ = 6312176640. Its totient is φ = 458680320.

The previous prime is 1975849093. The next prime is 1975849147. The reversal of 1975849140 is 419485791.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1975849140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1975849147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 832155 + ... + 834525.

It is an arithmetic number, because the mean of its divisors is an integer number (32875920).

Almost surely, 21975849140 is an apocalyptic number.

1975849140 is a gapful number since it is divisible by the number (10) 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 1975849140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156088320).

1975849140 is an abundant number, since it is smaller than the sum of its proper divisors (4336327500).

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

1975849140 is a wasteful number, since it uses less digits than its factorization.

1975849140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 1975849140 is about 44450.5246313247. The cubic root of 1975849140 is about 1254.8291360640.

The spelling of 1975849140 in words is "one billion, nine hundred seventy-five million, eight hundred forty-nine thousand, one hundred forty".