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2633142 = 232937409
BaseRepresentation
bin1010000010110110110110
311221202222210
422002312312
51133230032
6132234250
731244541
oct12026666
94852883
102633142
111539356
12a6b986
13712695
144c7858
153702cc
hex282db6

2633142 has 32 divisors (see below), whose sum is σ = 5608800. Its totient is φ = 822528.

The previous prime is 2633131. The next prime is 2633161. The reversal of 2633142 is 2413362.

It is a happy number.

2633142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6234 + ... + 6642.

It is an arithmetic number, because the mean of its divisors is an integer number (175275).

22633142 is an apocalyptic number.

2633142 is an abundant number, since it is smaller than the sum of its proper divisors (2975658).

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

2633142 is a wasteful number, since it uses less digits than its factorization.

2633142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480.

The product of its digits is 864, while the sum is 21.

The square root of 2633142 is about 1622.6959049680. The cubic root of 2633142 is about 138.0886848560.

It can be divided in two parts, 2633 and 142, that added together give a triangular number (2775 = T74).

The spelling of 2633142 in words is "two million, six hundred thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 29 37 58 74 87 111 174 222 409 818 1073 1227 2146 2454 3219 6438 11861 15133 23722 30266 35583 45399 71166 90798 438857 877714 1316571 2633142