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4284992 = 26234171
BaseRepresentation
bin10000010110001001000000
322001200220102
4100112021000
52044104432
6231501532
751264455
oct20261100
98050812
104284992
112467418
1215278a8
13b704ca
147d782c
15599962
hex416240

4284992 has 56 divisors (see below), whose sum is σ = 9217152. Its totient is φ = 1971200.

The previous prime is 4284989. The next prime is 4285009. The reversal of 4284992 is 2994824.

It is a super-2 number, since 2×42849922 = 36722312880128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60317 + ... + 60387.

It is an arithmetic number, because the mean of its divisors is an integer number (164592).

Almost surely, 24284992 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 4284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576).

4284992 is an abundant number, since it is smaller than the sum of its proper divisors (4932160).

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

4284992 is a wasteful number, since it uses less digits than its factorization.

4284992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 4284992 is about 2070.0222221029. The cubic root of 4284992 is about 162.4239265224.

The spelling of 4284992 in words is "four million, two hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 41 46 64 71 82 92 142 164 184 284 328 368 568 656 736 943 1136 1312 1472 1633 1886 2272 2624 2911 3266 3772 4544 5822 6532 7544 11644 13064 15088 23288 26128 30176 46576 52256 60352 66953 93152 104512 133906 186304 267812 535624 1071248 2142496 4284992