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4900224 = 27371823
BaseRepresentation
bin10010101100010110000000
3100012221211210
4102230112000
52223301344
6253010120
756436240
oct22542600
910187753
104900224
11284767a
121783940
131027554
14917b20
1566bdb9
hex4ac580

4900224 has 64 divisors (see below), whose sum is σ = 14883840. Its totient is φ = 1399296.

The previous prime is 4900211. The next prime is 4900241. The reversal of 4900224 is 4220094.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4900224.

It is a congruent number.

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, 1777 + ... + 3599.

It is an arithmetic number, because the mean of its divisors is an integer number (232560).

Almost surely, 24900224 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 4900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441920).

4900224 is an abundant number, since it is smaller than the sum of its proper divisors (9983616).

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

4900224 is a wasteful number, since it uses less digits than its factorization.

4900224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4900224 is about 2213.6449579822. The cubic root of 4900224 is about 169.8525133741.

The spelling of 4900224 in words is "four million, nine hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1823 2688 3646 5469 7292 10938 12761 14584 21876 25522 29168 38283 43752 51044 58336 76566 87504 102088 116672 153132 175008 204176 233344 306264 350016 408352 612528 700032 816704 1225056 1633408 2450112 4900224