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4202016 = 253713237
BaseRepresentation
bin10000000001111000100000
321220111002020
4100001320200
52033431031
6230021440
750500530
oct20017040
97814066
104202016
112410045
1214a7880
13b41800
147b54c0
15580096
hex401e20

4202016 has 144 divisors (see below), whose sum is σ = 14019264. Its totient is φ = 1078272.

The previous prime is 4201969. The next prime is 4202017. The reversal of 4202016 is 6102024.

It is a junction number, because it is equal to n+sod(n) for n = 4201986 and 4202004.

It is not an unprimeable number, because it can be changed into a prime (4202017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113550 + ... + 113586.

It is an arithmetic number, because the mean of its divisors is an integer number (97356).

Almost surely, 24202016 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 4202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009632).

4202016 is an abundant number, since it is smaller than the sum of its proper divisors (9817248).

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

4202016 is a wasteful number, since it uses less digits than its factorization.

4202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4202016 is about 2049.8819478204. The cubic root of 4202016 is about 161.3686753315.

The spelling of 4202016 in words is "four million, two hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 37 39 42 48 52 56 74 78 84 91 96 104 111 112 148 156 168 169 182 208 222 224 259 273 296 312 336 338 364 416 444 481 507 518 546 592 624 672 676 728 777 888 962 1014 1036 1092 1183 1184 1248 1352 1443 1456 1554 1776 1924 2028 2072 2184 2366 2704 2886 2912 3108 3367 3549 3552 3848 4056 4144 4368 4732 5408 5772 6216 6253 6734 7098 7696 8112 8288 8736 9464 10101 11544 12432 12506 13468 14196 15392 16224 18759 18928 20202 23088 24864 25012 26936 28392 37518 37856 40404 43771 46176 50024 53872 56784 75036 80808 87542 100048 107744 113568 131313 150072 161616 175084 200096 262626 300144 323232 350168 525252 600288 700336 1050504 1400672 2101008 4202016