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2753296 = 247133161
BaseRepresentation
bin1010100000001100010000
312011212210221
422200030100
51201101141
6135002424
732255050
oct12401420
95155727
102753296
111610657
12b09414
13755290
14519560
15395bd1
hex2a0310

2753296 has 80 divisors (see below), whose sum is σ = 6888448. Its totient is φ = 1036800.

The previous prime is 2753291. The next prime is 2753323. The reversal of 2753296 is 6923572.

It is a happy number.

Its product of digits (22680) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2753291) 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, 45106 + ... + 45166.

22753296 is an apocalyptic number.

2753296 is a gapful number since it is divisible by the number (26) 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 2753296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444224).

2753296 is an abundant number, since it is smaller than the sum of its proper divisors (4135152).

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

2753296 is a wasteful number, since it uses less digits than its factorization.

2753296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 2753296 is about 1659.3058789747. The cubic root of 2753296 is about 140.1579170440.

The spelling of 2753296 in words is "two million, seven hundred fifty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 61 62 91 104 112 122 124 182 208 217 244 248 364 403 427 434 488 496 728 793 806 854 868 976 1456 1586 1612 1708 1736 1891 2821 3172 3224 3416 3472 3782 5551 5642 6344 6448 6832 7564 11102 11284 12688 13237 15128 22204 22568 24583 26474 30256 44408 45136 49166 52948 88816 98332 105896 172081 196664 211792 344162 393328 688324 1376648 2753296