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2812032 = 27322441
BaseRepresentation
bin1010101110100010000000
312021212101100
422232202000
51204441112
6140134400
732621226
oct12564200
95255340
102812032
1116507a3
12b37400
13775c32
14532b16
153a82dc
hex2ae880

2812032 has 48 divisors (see below), whose sum is σ = 8095230. Its totient is φ = 936960.

The previous prime is 2812031. The next prime is 2812063. The reversal of 2812032 is 2302182.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2742336 + 69696 = 1656^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2811996 and 2812014.

It is not an unprimeable number, because it can be changed into a prime (2812031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69 + ... + 2372.

22812032 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 2812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047615).

2812032 is an abundant number, since it is smaller than the sum of its proper divisors (5283198).

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

2812032 is a wasteful number, since it uses less digits than its factorization.

2812032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2812032 is about 1676.9114466781. The cubic root of 2812032 is about 141.1475744781.

The spelling of 2812032 in words is "two million, eight hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2441 4882 7323 9764 14646 19528 21969 29292 39056 43938 58584 78112 87876 117168 156224 175752 234336 312448 351504 468672 703008 937344 1406016 2812032