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8036442 = 233433461
BaseRepresentation
bin11110101010000001011010
3120010021221000
4132222001122
54024131232
6444125430
7125210601
oct36520132
916107830
108036442
114599997
122836876
131884bbb
1410d2a38
15a8b27c
hex7aa05a

8036442 has 32 divisors (see below), whose sum is σ = 18279360. Its totient is φ = 2615760.

The previous prime is 8036429. The next prime is 8036459. The reversal of 8036442 is 2446308.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 592 + ... + 4052.

It is an arithmetic number, because the mean of its divisors is an integer number (571230).

Almost surely, 28036442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8036442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9139680).

8036442 is an abundant number, since it is smaller than the sum of its proper divisors (10242918).

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

8036442 is a wasteful number, since it uses less digits than its factorization.

8036442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8036442 is about 2834.8619013984. The cubic root of 8036442 is about 200.3032233789.

The spelling of 8036442 in words is "eight million, thirty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 3461 6922 10383 20766 31149 62298 93447 148823 186894 297646 446469 892938 1339407 2678814 4018221 8036442