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2097846 = 23353733
BaseRepresentation
bin1000000000001010110110
310221120201000
420000022312
51014112341
6112544130
723555112
oct10001266
93846630
102097846
111203163
12852046
13585b3a
143c8742
152b68b6
hex2002b6

2097846 has 32 divisors (see below), whose sum is σ = 4756320. Its totient is φ = 685152.

The previous prime is 2097833. The next prime is 2097857. The reversal of 2097846 is 6487902.

It is a d-powerful number, because it can be written as 221 + 0 + 92 + 73 + 8 + 44 + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 2097846.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2496 + ... + 3228.

It is an arithmetic number, because the mean of its divisors is an integer number (148635).

22097846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378160).

2097846 is an abundant number, since it is smaller than the sum of its proper divisors (2658474).

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

2097846 is a wasteful number, since it uses less digits than its factorization.

2097846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2097846 is about 1448.3942833359. The cubic root of 2097846 is about 128.0141179089.

The spelling of 2097846 in words is "two million, ninety-seven thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 733 954 1431 1466 2199 2862 4398 6597 13194 19791 38849 39582 77698 116547 233094 349641 699282 1048923 2097846