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4213728 = 25334877
BaseRepresentation
bin10000000100101111100000
321221002011000
4100010233200
52034314403
6230152000
750546631
oct20045740
97832130
104213728
112418922
1214b2600
13b46c3c
147b9888
155837a3
hex404be0

4213728 has 48 divisors (see below), whose sum is σ = 12292560. Its totient is φ = 1404288.

The previous prime is 4213717. The next prime is 4213747. The reversal of 4213728 is 8273124.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1575 + ... + 3302.

It is an arithmetic number, because the mean of its divisors is an integer number (256095).

Almost surely, 24213728 is an apocalyptic number.

4213728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4213728 is an abundant number, since it is smaller than the sum of its proper divisors (8078832).

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

4213728 is a wasteful number, since it uses less digits than its factorization.

4213728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896 (or 4882 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 4213728 is about 2052.7367098583. The cubic root of 4213728 is about 161.5184603180.

The spelling of 4213728 in words is "four million, two hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4877 9754 14631 19508 29262 39016 43893 58524 78032 87786 117048 131679 156064 175572 234096 263358 351144 468192 526716 702288 1053432 1404576 2106864 4213728