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4538268 = 223572329
BaseRepresentation
bin10001010011111110011100
322112120100000
4101103332130
52130211033
6241134300
753401050
oct21237634
98476300
104538268
11261a739
12162a390
13c2b887
14861c60
155e9a13
hex453f9c

4538268 has 144 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 1197504.

The previous prime is 4538267. The next prime is 4538323. The reversal of 4538268 is 8628354.

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

Its product of digits (46080) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4538267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156478 + ... + 156506.

It is an arithmetic number, because the mean of its divisors is an integer number (101920).

Almost surely, 24538268 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 4538268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

4538268 is an abundant number, since it is smaller than the sum of its proper divisors (10138212).

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

4538268 is a wasteful number, since it uses less digits than its factorization.

4538268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 64 counting only the distinct ones).

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

The square root of 4538268 is about 2130.3211025571. The cubic root of 4538268 is about 165.5630352277.

The spelling of 4538268 in words is "four million, five hundred thirty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 29 36 42 46 54 58 63 69 81 84 87 92 108 116 126 138 161 162 174 189 203 207 243 252 261 276 322 324 348 378 406 414 483 486 522 567 609 621 644 667 756 783 812 828 966 972 1044 1134 1218 1242 1334 1449 1566 1701 1827 1863 1932 2001 2268 2349 2436 2484 2668 2898 3132 3402 3654 3726 4002 4347 4669 4698 5481 5589 5796 6003 6804 7047 7308 7452 8004 8694 9338 9396 10962 11178 12006 13041 14007 14094 16443 17388 18009 18676 21924 22356 24012 26082 28014 28188 32886 36018 39123 42021 49329 52164 54027 56028 65772 72036 78246 84042 98658 108054 126063 156492 162081 168084 197316 216108 252126 324162 378189 504252 648324 756378 1134567 1512756 2269134 4538268