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4888368 = 243283409
BaseRepresentation
bin10010101001011100110000
3100012100120200
4102221130300
52222411433
6252435200
756356542
oct22513460
910170520
104888368
112839781
121778b00
131022034
14913692
15668613
hex4a9730

4888368 has 60 divisors (see below), whose sum is σ = 13879320. Its totient is φ = 1605888.

The previous prime is 4888363. The next prime is 4888379. The reversal of 4888368 is 8638884.

It is a super-2 number, since 2×48883682 = 47792283406848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4888363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11748 + ... + 12156.

It is an arithmetic number, because the mean of its divisors is an integer number (231322).

Almost surely, 24888368 is an apocalyptic number.

4888368 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 4888368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6939660).

4888368 is an abundant number, since it is smaller than the sum of its proper divisors (8990952).

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

4888368 is a wasteful number, since it uses less digits than its factorization.

4888368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 4888368 is about 2210.9654000006. The cubic root of 4888368 is about 169.7154177584.

The spelling of 4888368 in words is "four million, eight hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 409 498 664 747 818 996 1227 1328 1494 1636 1992 2454 2988 3272 3681 3984 4908 5976 6544 7362 9816 11952 14724 19632 29448 33947 58896 67894 101841 135788 203682 271576 305523 407364 543152 611046 814728 1222092 1629456 2444184 4888368