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4923040 = 255291061
BaseRepresentation
bin10010110001111010100000
3100021010010211
4102301322200
52230014130
6253303504
756562613
oct22617240
910233124
104923040
112862831
121794b94
131034a55
1492217a
15673a2a
hex4b1ea0

4923040 has 48 divisors (see below), whose sum is σ = 12043080. Its totient is φ = 1899520.

The previous prime is 4923031. The next prime is 4923067. The reversal of 4923040 is 403294.

It can be written as a sum of positive squares in 4 ways, for example, as 4276624 + 646416 = 2068^2 + 804^2 .

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, 4110 + ... + 5170.

Almost surely, 24923040 is an apocalyptic number.

4923040 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 4923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021540).

4923040 is an abundant number, since it is smaller than the sum of its proper divisors (7120040).

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

4923040 is a wasteful number, since it uses less digits than its factorization.

4923040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 4923040 is about 2218.7924643824. The cubic root of 4923040 is about 170.1157228218.

The spelling of 4923040 in words is "four million, nine hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1061 1160 2122 2320 4244 4640 5305 8488 10610 16976 21220 30769 33952 42440 61538 84880 123076 153845 169760 246152 307690 492304 615380 984608 1230760 2461520 4923040