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2742876 = 2233109233
BaseRepresentation
bin1010011101101001011100
312011100112000
422131221130
51200233001
6134442300
732212503
oct12355134
95140460
102742876
111603844
12b03390
13750606
1451583a
15392a86
hex29da5c

2742876 has 48 divisors (see below), whose sum is σ = 7207200. Its totient is φ = 902016.

The previous prime is 2742871. The next prime is 2742881. The reversal of 2742876 is 6782472.

It is an interprime number because it is at equal distance from previous prime (2742871) and next prime (2742881).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2742876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742871) 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, 11656 + ... + 11888.

It is an arithmetic number, because the mean of its divisors is an integer number (150150).

22742876 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 2742876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603600).

2742876 is an abundant number, since it is smaller than the sum of its proper divisors (4464324).

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

2742876 is a wasteful number, since it uses less digits than its factorization.

2742876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2742876 is about 1656.1630354527. The cubic root of 2742876 is about 139.9808817431.

The spelling of 2742876 in words is "two million, seven hundred forty-two thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 233 327 436 466 654 699 932 981 1308 1398 1962 2097 2796 2943 3924 4194 5886 6291 8388 11772 12582 25164 25397 50794 76191 101588 152382 228573 304764 457146 685719 914292 1371438 2742876