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4920900 = 2235247349
BaseRepresentation
bin10010110001011001000100
3100021000012120
4102301121010
52224432100
6253245540
756553435
oct22613104
910230176
104920900
112861166
1217938b0
131033a9a
1492148c
156730a0
hex4b1644

4920900 has 72 divisors (see below), whose sum is σ = 14582400. Its totient is φ = 1280640.

The previous prime is 4920887. The next prime is 4920901. The reversal of 4920900 is 90294.

It is not an unprimeable number, because it can be changed into a prime (4920901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13926 + ... + 14274.

Almost surely, 24920900 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 4920900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291200).

4920900 is an abundant number, since it is smaller than the sum of its proper divisors (9661500).

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

4920900 is a wasteful number, since it uses less digits than its factorization.

4920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 4920900 is about 2218.3101676727. The cubic root of 4920900 is about 170.0910700050.

The spelling of 4920900 in words is "four million, nine hundred twenty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 349 470 564 698 705 940 1047 1175 1396 1410 1745 2094 2350 2820 3490 3525 4188 4700 5235 6980 7050 8725 10470 14100 16403 17450 20940 26175 32806 34900 49209 52350 65612 82015 98418 104700 164030 196836 246045 328060 410075 492090 820150 984180 1230225 1640300 2460450 4920900