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882420437 = 3723891657
BaseRepresentation
bin110100100110001…
…010101011010101
32021111102121021102
4310212022223111
53301344423222
6223321155445
730603310223
oct6446125325
92244377242
10882420437
11413115598
1220762bb85
13110a7cb92
14852a1b13
1552707d92
hex3498aad5

882420437 has 12 divisors (see below), whose sum is σ = 909794340. Its totient is φ = 855847296.

The previous prime is 882420421. The next prime is 882420463. The reversal of 882420437 is 734024288.

It is a happy number.

882420437 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 43217476 + 839202961 = 6574^2 + 28969^2 .

It is not a de Polignac number, because 882420437 - 24 = 882420421 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 882420437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882429437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531713 + ... + 533369.

It is an arithmetic number, because the mean of its divisors is an integer number (75816195).

Almost surely, 2882420437 is an apocalyptic number.

It is an amenable number.

882420437 is a deficient number, since it is larger than the sum of its proper divisors (27373903).

882420437 is a wasteful number, since it uses less digits than its factorization.

882420437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 882420437 is about 29705.5623915791. The cubic root of 882420437 is about 959.1617527244.

The spelling of 882420437 in words is "eight hundred eighty-two million, four hundred twenty thousand, four hundred thirty-seven".

Divisors: 1 37 389 1369 1657 14393 61309 532541 644573 2268433 23849201 882420437