Search a number
-
+
4924944 = 2432231487
BaseRepresentation
bin10010110010011000010000
3100021012202100
4102302120100
52230044234
6253320400
756601303
oct22623020
910235670
104924944
112864202
121796100
13103588b
14922b3a
15674399
hex4b2610

4924944 has 60 divisors (see below), whose sum is σ = 14391936. Its totient is φ = 1569216.

The previous prime is 4924943. The next prime is 4924973. The reversal of 4924944 is 4494294.

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 junction number, because it is equal to n+sod(n) for n = 4924899 and 4924908.

It is not an unprimeable number, because it can be changed into a prime (4924943) 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, 2569 + ... + 4055.

Almost surely, 24924944 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 4924944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195968).

4924944 is an abundant number, since it is smaller than the sum of its proper divisors (9466992).

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

4924944 is a wasteful number, since it uses less digits than its factorization.

4924944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1515 counting only the distinct ones).

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

The square root of 4924944 is about 2219.2214851159. The cubic root of 4924944 is about 170.1376509115.

The spelling of 4924944 in words is "four million, nine hundred twenty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1487 1656 2974 3312 4461 5948 8922 11896 13383 17844 23792 26766 34201 35688 53532 68402 71376 102603 107064 136804 205206 214128 273608 307809 410412 547216 615618 820824 1231236 1641648 2462472 4924944