Search a number
-
+
2642052 = 223771443
BaseRepresentation
bin1010000101000010000100
311222020012210
422011002010
51134021202
6132343420
731312530
oct12050204
94866183
102642052
111545016
12a74b70
1371675a
144cabc0
15372c6c
hex285084

2642052 has 48 divisors (see below), whose sum is σ = 7160832. Its totient is φ = 742560.

The previous prime is 2642041. The next prime is 2642063. The reversal of 2642052 is 2502462.

It is an interprime number because it is at equal distance from previous prime (2642041) and next prime (2642063).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5743 + ... + 6185.

It is an arithmetic number, because the mean of its divisors is an integer number (149184).

22642052 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 2642052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580416).

2642052 is an abundant number, since it is smaller than the sum of its proper divisors (4518780).

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

2642052 is a wasteful number, since it uses less digits than its factorization.

2642052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2642052 is about 1625.4390176195. The cubic root of 2642052 is about 138.2442638833.

The spelling of 2642052 in words is "two million, six hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 443 497 852 886 994 1329 1491 1772 1988 2658 2982 3101 5316 5964 6202 9303 12404 18606 31453 37212 62906 94359 125812 188718 220171 377436 440342 660513 880684 1321026 2642052