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4923864 = 2332116217
BaseRepresentation
bin10010110010000111011000
3100021011021100
4102302013120
52230030424
6253311400
756565201
oct22620730
910234240
104923864
112863410
121795560
13103523a
149225a8
15673dc9
hex4b21d8

4923864 has 48 divisors (see below), whose sum is σ = 14550120. Its totient is φ = 1491840.

The previous prime is 4923839. The next prime is 4923883. The reversal of 4923864 is 4683294.

It is a happy number.

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

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2317 + ... + 3900.

Almost surely, 24923864 is an apocalyptic number.

4923864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4923864 is an abundant number, since it is smaller than the sum of its proper divisors (9626256).

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

4923864 is a wasteful number, since it uses less digits than its factorization.

4923864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6240 (or 6233 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4923864 is about 2218.9781432002. The cubic root of 4923864 is about 170.1252134032.

It can be divided in two parts, 492 and 3864, that added together give a square (4356 = 662).

The spelling of 4923864 in words is "four million, nine hundred twenty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 6217 12434 18651 24868 37302 49736 55953 68387 74604 111906 136774 149208 205161 223812 273548 410322 447624 547096 615483 820644 1230966 1641288 2461932 4923864