Search a number
-
+
2048102496 = 253411292477
BaseRepresentation
bin111101000010011…
…1001000001100000
312021201212101110000
41322010321001200
513143303234441
6535121540000
7101516404206
oct17204710140
95251771400
102048102496
119611117a0
12491aa4600
13268419b8b
1415601b076
15bec152b6
hex7a139060

2048102496 has 240 divisors, whose sum is σ = 6800325840. Its totient is φ = 598993920.

The previous prime is 2048102471. The next prime is 2048102671. The reversal of 2048102496 is 6942018402.

2048102496 is a `hidden beast` number, since 20 + 48 + 102 + 496 = 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 2048102496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 825610 + ... + 828086.

It is an arithmetic number, because the mean of its divisors is an integer number (28334691).

Almost surely, 22048102496 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 2048102496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400162920).

2048102496 is an abundant number, since it is smaller than the sum of its proper divisors (4752223344).

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

2048102496 is a wasteful number, since it uses less digits than its factorization.

2048102496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2048102496 is about 45255.9664132808. The cubic root of 2048102496 is about 1269.9420264110.

The spelling of 2048102496 in words is "two billion, forty-eight million, one hundred two thousand, four hundred ninety-six".