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4284216 = 2332157379
BaseRepresentation
bin10000010101111100111000
322001122211200
4100111330320
52044043331
6231454200
751262266
oct20257470
98048750
104284216
112466882
121527360
13b70051
147d7436
155995e6
hex415f38

4284216 has 48 divisors (see below), whose sum is σ = 11707800. Its totient is φ = 1415232.

The previous prime is 4284209. The next prime is 4284223. The reversal of 4284216 is 6124824.

It is an interprime number because it is at equal distance from previous prime (4284209) and next prime (4284223).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4284216.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 11115 + ... + 11493.

Almost surely, 24284216 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 4284216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853900).

4284216 is an abundant number, since it is smaller than the sum of its proper divisors (7423584).

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

4284216 is a wasteful number, since it uses less digits than its factorization.

4284216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 541 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 4284216 is about 2069.8347760147. The cubic root of 4284216 is about 162.4141210917.

The spelling of 4284216 in words is "four million, two hundred eighty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 379 471 628 758 942 1137 1256 1413 1516 1884 2274 2826 3032 3411 3768 4548 5652 6822 9096 11304 13644 27288 59503 119006 178509 238012 357018 476024 535527 714036 1071054 1428072 2142108 4284216