Search a number
-
+
2656469088 = 2533713223113
BaseRepresentation
bin1001111001010110…
…1000000001100000
320212010121121112000
42132111220001200
520420024002323
61115333204000
7122554420560
oct23625500140
96763547460
102656469088
1111435645a9
12621790600
13334484a00
141b2b40da0
15108336e43
hex9e568060

2656469088 has 576 divisors, whose sum is σ = 10093870080. Its totient is φ = 664215552.

The previous prime is 2656469083. The next prime is 2656469117. The reversal of 2656469088 is 8809646562.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2656469083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23508520 + ... + 23508632.

It is an arithmetic number, because the mean of its divisors is an integer number (17524080).

Almost surely, 22656469088 is an apocalyptic number.

2656469088 is a gapful number since it is divisible by the number (28) 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 2656469088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046935040).

2656469088 is an abundant number, since it is smaller than the sum of its proper divisors (7437400992).

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

2656469088 is a wasteful number, since it uses less digits than its factorization.

2656469088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 2656469088 is about 51540.9457421961. The cubic root of 2656469088 is about 1384.9526391465.

The spelling of 2656469088 in words is "two billion, six hundred fifty-six million, four hundred sixty-nine thousand, eighty-eight".