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2593296 = 24352329
BaseRepresentation
bin1001111001001000010000
311212202100000
421321020100
51130441141
6131330000
731020426
oct11711020
94782300
102593296
111511422
12a50900
136ca4c4
144b7116
153635b6
hex279210

2593296 has 120 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 798336.

The previous prime is 2593277. The next prime is 2593301. The reversal of 2593296 is 6923952.

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 2593296.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89410 + ... + 89438.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

22593296 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 2593296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240).

2593296 is an abundant number, since it is smaller than the sum of its proper divisors (5531184).

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

2593296 is a wasteful number, since it uses less digits than its factorization.

2593296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 57 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 2593296 is about 1610.3713857368. The cubic root of 2593296 is about 137.3885995766.

The spelling of 2593296 in words is "two million, five hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 29 36 46 48 54 58 69 72 81 87 92 108 116 138 144 162 174 184 207 216 232 243 261 276 324 348 368 414 432 464 486 522 552 621 648 667 696 783 828 972 1044 1104 1242 1296 1334 1392 1566 1656 1863 1944 2001 2088 2349 2484 2668 3132 3312 3726 3888 4002 4176 4698 4968 5336 5589 6003 6264 7047 7452 8004 9396 9936 10672 11178 12006 12528 14094 14904 16008 18009 18792 22356 24012 28188 29808 32016 36018 37584 44712 48024 54027 56376 72036 89424 96048 108054 112752 144072 162081 216108 288144 324162 432216 648324 864432 1296648 2593296