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4890624 = 2133199
BaseRepresentation
bin10010101010000000000000
3100012110200020
4102222000000
52222444444
6252453440
756366244
oct22520000
910173606
104890624
112840442
12177a280
13102307b
14914424
15669119
hex4aa000

4890624 has 56 divisors (see below), whose sum is σ = 13106400. Its totient is φ = 1622016.

The previous prime is 4890617. The next prime is 4890629. The reversal of 4890624 is 4260984.

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (4890629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24477 + ... + 24675.

Almost surely, 24890624 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 4890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553200).

4890624 is an abundant number, since it is smaller than the sum of its proper divisors (8215776).

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

4890624 is an equidigital number, since it uses as much as digits as its factorization.

4890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4890624 is about 2211.4755255259. The cubic root of 4890624 is about 169.7415218418.

The spelling of 4890624 in words is "four million, eight hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 384 398 512 597 768 796 1024 1194 1536 1592 2048 2388 3072 3184 4096 4776 6144 6368 8192 9552 12288 12736 19104 24576 25472 38208 50944 76416 101888 152832 203776 305664 407552 611328 815104 1222656 1630208 2445312 4890624