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2542936 = 231123771
BaseRepresentation
bin1001101100110101011000
311210012020211
421230311120
51122333221
6130300504
730420544
oct11546530
94705224
102542936
111487600
12a27734
136b05c6
144a2a24
153536e1
hex26cd58

2542936 has 48 divisors (see below), whose sum is σ = 5458320. Its totient is φ = 1108800.

The previous prime is 2542933. The next prime is 2542951. The reversal of 2542936 is 6392452.

2542936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2542898 and 2542907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542933) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 35781 + ... + 35851.

It is an arithmetic number, because the mean of its divisors is an integer number (113715).

22542936 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 2542936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729160).

2542936 is an abundant number, since it is smaller than the sum of its proper divisors (2915384).

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

2542936 is a wasteful number, since it uses less digits than its factorization.

2542936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 2542936 is about 1594.6585841490. The cubic root of 2542936 is about 136.4934496626.

The spelling of 2542936 in words is "two million, five hundred forty-two thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 22 37 44 71 74 88 121 142 148 242 284 296 407 484 568 781 814 968 1562 1628 2627 3124 3256 4477 5254 6248 8591 8954 10508 17182 17908 21016 28897 34364 35816 57794 68728 115588 231176 317867 635734 1271468 2542936