Search a number
-
+
2652456240 = 2433572191319
BaseRepresentation
bin1001111000011001…
…0100010100110000
320211212001201221000
42132012110110300
520413012044430
61115111202000
7122505335400
oct23606242460
96755051830
102652456240
1111412736a5
12620376300
133336ab345
141b23b8800
15107ce2e60
hex9e194530

2652456240 has 480 divisors, whose sum is σ = 11195712000. Its totient is φ = 573931008.

The previous prime is 2652456217. The next prime is 2652456251. The reversal of 2652456240 is 426542562.

2652456240 is a `hidden beast` number, since 2 + 6 + 5 + 24 + 5 + 624 + 0 = 666.

It is a super-2 number, since 2×26524562402 = 14071048210229875200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2652456195 and 2652456204.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2010301 + ... + 2011619.

It is an arithmetic number, because the mean of its divisors is an integer number (23324400).

Almost surely, 22652456240 is an apocalyptic number.

2652456240 is a gapful number since it is divisible by the number (20) 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 2652456240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597856000).

2652456240 is an abundant number, since it is smaller than the sum of its proper divisors (8543255760).

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

2652456240 is a wasteful number, since it uses less digits than its factorization.

2652456240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2652456240 is about 51502.0022911731. The cubic root of 2652456240 is about 1384.2549203546.

The spelling of 2652456240 in words is "two billion, six hundred fifty-two million, four hundred fifty-six thousand, two hundred forty".