Search a number
-
+
4490100 = 2233521663
BaseRepresentation
bin10001001000001101110100
322110010021000
4101020031310
52122140400
6240123300
753110446
oct21101564
98403230
104490100
11259752a
121606530
13c12984
1484c496
155da600
hex448374

4490100 has 72 divisors (see below), whose sum is σ = 14443520. Its totient is φ = 1196640.

The previous prime is 4490081. The next prime is 4490113. The reversal of 4490100 is 10944.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1869 + ... + 3531.

Almost surely, 24490100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4490100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221760).

4490100 is an abundant number, since it is smaller than the sum of its proper divisors (9953420).

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

4490100 is a wasteful number, since it uses less digits than its factorization.

4490100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4490100 is about 2118.9856063692. The cubic root of 4490100 is about 164.9752028851.

The spelling of 4490100 in words is "four million, four hundred ninety thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 1663 2700 3326 4989 6652 8315 9978 14967 16630 19956 24945 29934 33260 41575 44901 49890 59868 74835 83150 89802 99780 124725 149670 166300 179604 224505 249450 299340 374175 449010 498900 748350 898020 1122525 1496700 2245050 4490100