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4285488 = 2431937127
BaseRepresentation
bin10000010110010000110000
322001201120210
4100112100300
52044113423
6231504120
751266064
oct20262060
98051523
104285488
112467829
121528040
13b707bc
147d7aa4
15599b93
hex416430

4285488 has 80 divisors (see below), whose sum is σ = 12062720. Its totient is φ = 1306368.

The previous prime is 4285481. The next prime is 4285499. The reversal of 4285488 is 8845824.

4285488 = 1172 + 1182 + ... + 2432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33681 + ... + 33807.

It is an arithmetic number, because the mean of its divisors is an integer number (150784).

Almost surely, 24285488 is an apocalyptic number.

4285488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4285488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031360).

4285488 is an abundant number, since it is smaller than the sum of its proper divisors (7777232).

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

4285488 is a wasteful number, since it uses less digits than its factorization.

4285488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its digits is 81920, while the sum is 39.

The square root of 4285488 is about 2070.1420241133. The cubic root of 4285488 is about 162.4301932909.

The spelling of 4285488 in words is "four million, two hundred eighty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 127 148 152 222 228 254 296 304 381 444 456 508 592 703 762 888 912 1016 1406 1524 1776 2032 2109 2413 2812 3048 4218 4699 4826 5624 6096 7239 8436 9398 9652 11248 14097 14478 16872 18796 19304 28194 28956 33744 37592 38608 56388 57912 75184 89281 112776 115824 178562 225552 267843 357124 535686 714248 1071372 1428496 2142744 4285488