Search a number
-
+
2655463488 = 26383281593
BaseRepresentation
bin1001111001000111…
…0010100001000000
320212001201112002120
42132101302201000
520414244312423
61115255444240
7122543032026
oct23621624100
96761645076
102655463488
111142a38027
12621386680
133341c2092
141b295c716
151081d8ee3
hex9e472840

2655463488 has 112 divisors (see below), whose sum is σ = 7147901376. Its totient is φ = 869908480.

The previous prime is 2655463483. The next prime is 2655463511. The reversal of 2655463488 is 8843645562.

It is a super-2 number, since 2×26554634882 = 14102972672202252288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2655463488.

It is not an unprimeable number, because it can be changed into a prime (2655463483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4477720 + ... + 4478312.

It is an arithmetic number, because the mean of its divisors is an integer number (63820548).

Almost surely, 22655463488 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 2655463488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573950688).

2655463488 is an abundant number, since it is smaller than the sum of its proper divisors (4492437888).

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

2655463488 is a wasteful number, since it uses less digits than its factorization.

2655463488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 962 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 51.

The square root of 2655463488 is about 51531.1894681270. The cubic root of 2655463488 is about 1384.7778602576. Note that the first 3 decimals are identical.

The spelling of 2655463488 in words is "two billion, six hundred fifty-five million, four hundred sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 281 332 498 562 593 664 843 996 1124 1186 1328 1686 1779 1992 2248 2372 2656 3372 3558 3984 4496 4744 5312 6744 7116 7968 8992 9488 13488 14232 15936 17984 18976 23323 26976 28464 37952 46646 49219 53952 56928 69969 93292 98438 113856 139938 147657 166633 186584 196876 279876 295314 333266 373168 393752 499899 559752 590628 666532 746336 787504 999798 1119504 1181256 1333064 1492672 1575008 1999596 2239008 2362512 2666128 3150016 3999192 4478016 4725024 5332256 7998384 9450048 10664512 13830539 15996768 27661078 31993536 41491617 55322156 82983234 110644312 165966468 221288624 331932936 442577248 663865872 885154496 1327731744 2655463488