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4285944 = 23321319241
BaseRepresentation
bin10000010110010111111000
322001202012200
4100112113320
52044122234
6231510200
751300315
oct20262770
98052180
104285944
112468103
121528360
13b70a80
147d7d0c
15599d99
hex4165f8

4285944 has 96 divisors (see below), whose sum is σ = 13213200. Its totient is φ = 1244160.

The previous prime is 4285913. The next prime is 4285949. The reversal of 4285944 is 4495824.

4285944 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×42859442 = 36738631942272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4285899 and 4285908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285949) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17664 + ... + 17904.

Almost surely, 24285944 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 4285944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606600).

4285944 is an abundant number, since it is smaller than the sum of its proper divisors (8927256).

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

4285944 is a wasteful number, since it uses less digits than its factorization.

4285944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4285944 is about 2070.2521585546. The cubic root of 4285944 is about 162.4359542483.

The spelling of 4285944 in words is "four million, two hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 241 247 312 342 456 468 482 494 684 723 741 936 964 988 1368 1446 1482 1928 1976 2169 2223 2892 2964 3133 4338 4446 4579 5784 5928 6266 8676 8892 9158 9399 12532 13737 17352 17784 18316 18798 25064 27474 28197 36632 37596 41211 54948 56394 59527 75192 82422 109896 112788 119054 164844 178581 225576 238108 329688 357162 476216 535743 714324 1071486 1428648 2142972 4285944