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4928040 = 23365132
BaseRepresentation
bin10010110011001000101000
3100021101000000
4102303020220
52230144130
6253343000
756613315
oct22631050
910241000
104928040
112866567
121797a60
131037100
14923d0c
15675260
hex4b3228

4928040 has 168 divisors, whose sum is σ = 18001710. Its totient is φ = 1213056.

The previous prime is 4928029. The next prime is 4928069. The reversal of 4928040 is 408294.

4928040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2125764 + 2802276 = 1458^2 + 1674^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4927995 and 4928013.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 379074 + ... + 379086.

Almost surely, 24928040 is an apocalyptic number.

4928040 is a gapful number since it is divisible by the number (40) 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 4928040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9000855).

4928040 is an abundant number, since it is smaller than the sum of its proper divisors (13073670).

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

4928040 is a wasteful number, since it uses less digits than its factorization.

4928040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4928040 is about 2219.9189174382. The cubic root of 4928040 is about 170.1732950277.

The spelling of 4928040 in words is "four million, nine hundred twenty-eight thousand, forty".