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4735040 = 26514797
BaseRepresentation
bin10010000100000001000000
322220120020212
4102010001000
52203010130
6245253252
755150532
oct22040100
98816225
104735040
112744562
121704228
13c9a2cb
148b3852
15637e95
hex484040

4735040 has 28 divisors (see below), whose sum is σ = 11276076. Its totient is φ = 1893888.

The previous prime is 4735037. The next prime is 4735043. The reversal of 4735040 is 405374.

It is an interprime number because it is at equal distance from previous prime (4735037) and next prime (4735043).

It can be written as a sum of positive squares in 2 ways, for example, as 1721344 + 3013696 = 1312^2 + 1736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4734997 and 4735015.

It is not an unprimeable number, because it can be changed into a prime (4735043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7079 + ... + 7718.

It is an arithmetic number, because the mean of its divisors is an integer number (402717).

Almost surely, 24735040 is an apocalyptic number.

4735040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4735040 is an abundant number, since it is smaller than the sum of its proper divisors (6541036).

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

4735040 is a wasteful number, since it uses less digits than its factorization.

4735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14814 (or 14804 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 4735040 is about 2176.0147058327. The cubic root of 4735040 is about 167.9221105303.

The spelling of 4735040 in words is "four million, seven hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 14797 29594 59188 73985 118376 147970 236752 295940 473504 591880 947008 1183760 2367520 4735040