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4876368 = 243723631
BaseRepresentation
bin10010100110100001010000
3100011202010020
4102212201100
52222020433
6252303440
756306550
oct22464120
910152106
104876368
112830762
121771b80
131019733
1490d160
15664cb3
hex4a6850

4876368 has 80 divisors (see below), whose sum is σ = 15046656. Its totient is φ = 1330560.

The previous prime is 4876367. The next prime is 4876397. The reversal of 4876368 is 8636784.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 43 + 8 + 7 + 66 + 314 + 66 + 8 .

Its product of digits (193536) is a multiple of the sum of its prime factors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4876367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7413 + ... + 8043.

Almost surely, 24876368 is an apocalyptic number.

4876368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4876368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523328).

4876368 is an abundant number, since it is smaller than the sum of its proper divisors (10170288).

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

4876368 is a wasteful number, since it uses less digits than its factorization.

4876368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 4876368 is about 2208.2499858485. The cubic root of 4876368 is about 169.5764311024.

The spelling of 4876368 in words is "four million, eight hundred seventy-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 631 644 966 1104 1262 1288 1893 1932 2524 2576 3786 3864 4417 5048 7572 7728 8834 10096 13251 14513 15144 17668 26502 29026 30288 35336 43539 53004 58052 70672 87078 101591 106008 116104 174156 203182 212016 232208 304773 348312 406364 609546 696624 812728 1219092 1625456 2438184 4876368