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4490320 = 24537241
BaseRepresentation
bin10001001000010001010000
322110010120011
4101020101100
52122142240
6240124304
753111212
oct21102120
98403504
104490320
11259770a
121606694
13c12ac3
1484c5b2
155da6ea
hex448450

4490320 has 60 divisors (see below), whose sum is σ = 10991484. Its totient is φ = 1704960.

The previous prime is 4490309. The next prime is 4490347. The reversal of 4490320 is 230944.

It can be written as a sum of positive squares in 6 ways, for example, as 46656 + 4443664 = 216^2 + 2108^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4490291 and 4490300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109500 + ... + 109540.

Almost surely, 24490320 is an apocalyptic number.

4490320 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 4490320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495742).

4490320 is an abundant number, since it is smaller than the sum of its proper divisors (6501164).

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

4490320 is a wasteful number, since it uses less digits than its factorization.

4490320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 85 counting only the distinct ones).

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

The square root of 4490320 is about 2119.0375173649. The cubic root of 4490320 is about 164.9778972536.

The spelling of 4490320 in words is "four million, four hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 41 74 80 82 148 164 185 205 296 328 370 410 592 656 740 820 1369 1480 1517 1640 2738 2960 3034 3280 5476 6068 6845 7585 10952 12136 13690 15170 21904 24272 27380 30340 54760 56129 60680 109520 112258 121360 224516 280645 449032 561290 898064 1122580 2245160 4490320