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8261442 = 2327173379
BaseRepresentation
bin11111100000111101000010
3120112201120100
4133200331002
54103331232
6453023230
7130135560
oct37407502
916481510
108261442
114732a42
122924b16
131933437
141150a30
15ad2c7c
hex7e0f42

8261442 has 48 divisors (see below), whose sum is σ = 20629440. Its totient is φ = 2340576.

The previous prime is 8261441. The next prime is 8261443. The reversal of 8261442 is 2441628.

8261442 is a `hidden beast` number, since 8 + 2 + 614 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (8261441) and next prime (8261443).

It is not an unprimeable number, because it can be changed into a prime (8261441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21609 + ... + 21987.

It is an arithmetic number, because the mean of its divisors is an integer number (429780).

Almost surely, 28261442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8261442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10314720).

8261442 is an abundant number, since it is smaller than the sum of its proper divisors (12367998).

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

8261442 is a wasteful number, since it uses less digits than its factorization.

8261442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 564 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 8261442 is about 2874.2724296768. The cubic root of 8261442 is about 202.1553717542.

The spelling of 8261442 in words is "eight million, two hundred sixty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 173 346 379 519 758 1038 1137 1211 1557 2274 2422 2653 3114 3411 3633 5306 6822 7266 7959 10899 15918 21798 23877 47754 65567 131134 196701 393402 458969 590103 917938 1180206 1376907 2753814 4130721 8261442