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4789640 = 235294129
BaseRepresentation
bin10010010001010110001000
3100000100011002
4102101112020
52211232030
6250354132
755465652
oct22212610
910010132
104789640
112781589
12172b948
13cb910b
148c96d2
15649245
hex491588

4789640 has 32 divisors (see below), whose sum is σ = 11151000. Its totient is φ = 1849344.

The previous prime is 4789639. The next prime is 4789651. The reversal of 4789640 is 469874.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3976036 + 813604 = 1994^2 + 902^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 47 + 73 + 83 + 96 + 66 + 411 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4789594 and 4789603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 905 + ... + 3224.

Almost surely, 24789640 is an apocalyptic number.

4789640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4789640 is an abundant number, since it is smaller than the sum of its proper divisors (6361360).

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

4789640 is a wasteful number, since it uses less digits than its factorization.

4789640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 4789640 is about 2188.5246171793. The cubic root of 4789640 is about 168.5650850542.

The spelling of 4789640 in words is "four million, seven hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 4129 8258 16516 20645 33032 41290 82580 119741 165160 239482 478964 598705 957928 1197410 2394820 4789640