Search a number
-
+
2623252086 = 2327132835659
BaseRepresentation
bin1001110001011011…
…1010011001110110
320202211010000100200
42130112322121312
520333023031321
61112145221330
7122002163160
oct23426723166
96684100320
102623252086
111126837134
12612631846
1332a624690
141ac575930
15105474d26
hex9c5ba676

2623252086 has 96 divisors (see below), whose sum is σ = 7021297920. Its totient is φ = 689280192.

The previous prime is 2623252001. The next prime is 2623252091. The reversal of 2623252086 is 6802523262.

2623252086 is a `hidden beast` number, since 2 + 623 + 2 + 5 + 20 + 8 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2623252086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460725 + ... + 466383.

It is an arithmetic number, because the mean of its divisors is an integer number (73138520).

Almost surely, 22623252086 is an apocalyptic number.

2623252086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2623252086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510648960).

2623252086 is an abundant number, since it is smaller than the sum of its proper divisors (4398045834).

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

2623252086 is a wasteful number, since it uses less digits than its factorization.

2623252086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5970 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2623252086 is about 51217.6930952576. The cubic root of 2623252086 is about 1379.1558384796.

The spelling of 2623252086 in words is "two billion, six hundred twenty-three million, two hundred fifty-two thousand, eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 283 546 566 819 849 1638 1698 1981 2547 3679 3962 5094 5659 5943 7358 11037 11318 11886 16977 17829 22074 25753 33111 33954 35658 39613 50931 51506 66222 73567 77259 79226 101862 118839 147134 154518 220701 231777 237678 356517 441402 463554 514969 662103 713034 1029938 1324206 1544907 1601497 3089814 3202994 4634721 4804491 9269442 9608982 11210479 14413473 20819461 22420958 28826946 33631437 41638922 62458383 67262874 100894311 124916766 145736227 187375149 201788622 291472454 374750298 437208681 874417362 1311626043 2623252086