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4022892 = 22331932
BaseRepresentation
bin1111010110001001101100
321120101101000
433112021230
52012213032
6222120300
746123356
oct17261154
97511330
104022892
1122a8505
121420090
13aab113
1476a0d6
15546e7c
hex3d626c

4022892 has 36 divisors (see below), whose sum is σ = 10484040. Its totient is φ = 1334016.

The previous prime is 4022891. The next prime is 4022903. The reversal of 4022892 is 2982204.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (4022891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20748 + ... + 20940.

Almost surely, 24022892 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 4022892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242020).

4022892 is an abundant number, since it is smaller than the sum of its proper divisors (6461148).

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

4022892 is a wasteful number, since it uses less digits than its factorization.

4022892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4022892 is about 2005.7148351648. The cubic root of 4022892 is about 159.0423525482.

Multiplying 4022892 by its sum of digits (27), we get a square (108618084 = 104222).

4022892 divided by its sum of digits (27) gives a square (148996 = 3862).

The spelling of 4022892 in words is "four million, twenty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 193 386 579 772 1158 1737 2316 3474 5211 6948 10422 20844 37249 74498 111747 148996 223494 335241 446988 670482 1005723 1340964 2011446 4022892