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4283712 = 26333767
BaseRepresentation
bin10000010101110101000000
322001122011000
4100111311000
52044034322
6231452000
751260646
oct20256500
98048130
104283712
112466464
121527000
13b6ca54
147d7196
155993ac
hex415d40

4283712 has 112 divisors (see below), whose sum is σ = 13126720. Its totient is φ = 1368576.

The previous prime is 4283707. The next prime is 4283723. The reversal of 4283712 is 2173824.

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 15 ways as a sum of consecutive naturals, for example, 63903 + ... + 63969.

Almost surely, 24283712 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 4283712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563360).

4283712 is an abundant number, since it is smaller than the sum of its proper divisors (8843008).

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

4283712 is a wasteful number, since it uses less digits than its factorization.

4283712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

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

The square root of 4283712 is about 2069.7130235856. The cubic root of 4283712 is about 162.4077519818.

It can be divided in two parts, 42837 and 12, that added together give a square (42849 = 2072).

The spelling of 4283712 in words is "four million, two hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 67 72 74 96 108 111 134 144 148 192 201 216 222 268 288 296 333 402 432 444 536 576 592 603 666 804 864 888 999 1072 1184 1206 1332 1608 1728 1776 1809 1998 2144 2368 2412 2479 2664 3216 3552 3618 3996 4288 4824 4958 5328 6432 7104 7236 7437 7992 9648 9916 10656 12864 14472 14874 15984 19296 19832 21312 22311 28944 29748 31968 38592 39664 44622 57888 59496 63936 66933 79328 89244 115776 118992 133866 158656 178488 237984 267732 356976 475968 535464 713952 1070928 1427904 2141856 4283712