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4974024 = 2331183227
BaseRepresentation
bin10010111110010111001000
3100100201002010
4102332113020
52233132044
6254335520
760164346
oct22762710
910321063
104974024
112898070
1217ba5a0
131052013
14936996
15683bb9
hex4be5c8

4974024 has 64 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 1482560.

The previous prime is 4974023. The next prime is 4974041. The reversal of 4974024 is 4204794.

4974024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4973982 and 4974000.

It is not an unprimeable number, because it can be changed into a prime (4974023) 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, 21799 + ... + 22025.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 24974024 is an apocalyptic number.

4974024 is a gapful number since it is divisible by the number (44) 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 4974024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

4974024 is an abundant number, since it is smaller than the sum of its proper divisors (8815416).

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

4974024 is a wasteful number, since it uses less digits than its factorization.

4974024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4974024 is about 2230.2520036982. The cubic root of 4974024 is about 170.7009581431.

The spelling of 4974024 in words is "four million, nine hundred seventy-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 227 249 264 332 454 498 664 681 908 913 996 1362 1816 1826 1992 2497 2724 2739 3652 4994 5448 5478 7304 7491 9988 10956 14982 18841 19976 21912 29964 37682 56523 59928 75364 113046 150728 207251 226092 414502 452184 621753 829004 1243506 1658008 2487012 4974024