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2552742 = 233411153
BaseRepresentation
bin1001101111001110100110
311210200201000
421233032212
51123141432
6130414130
730461253
oct11571646
94720630
102552742
111493a05
12a31346
136b4bca
144a642a
1535657c
hex26f3a6

2552742 has 32 divisors (see below), whose sum is σ = 5816160. Its totient is φ = 829440.

The previous prime is 2552729. The next prime is 2552761. The reversal of 2552742 is 2472552.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1638 + ... + 2790.

It is an arithmetic number, because the mean of its divisors is an integer number (181755).

22552742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908080).

2552742 is an abundant number, since it is smaller than the sum of its proper divisors (3263418).

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

2552742 is a wasteful number, since it uses less digits than its factorization.

2552742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1199 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 2552742 is about 1597.7302650948. The cubic root of 2552742 is about 136.6686720573.

The spelling of 2552742 in words is "two million, five hundred fifty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 1153 2214 2306 3459 6918 10377 20754 31131 47273 62262 94546 141819 283638 425457 850914 1276371 2552742