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4299424900 = 2252792832
BaseRepresentation
bin1000000000100010…
…00000010010000100
3102002122010102012021
410000101000102010
532301123044100
61550343332524
7211354336321
oct40021002204
912078112167
104299424900
111906a05621
129bba51144
1353697a804
142cb017b48
151a26bda1a
hex100440484

4299424900 has 81 divisors (see below), whose sum is σ = 9564564261. Its totient is φ = 1677542880.

The previous prime is 4299424771. The next prime is 4299424903. The reversal of 4299424900 is 94249924.

The square root of 4299424900 is 65570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1547792964 + 2751631936 = 39342^2 + 52456^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4299424903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51800259 + ... + 51800341.

Almost surely, 24299424900 is an apocalyptic number.

4299424900 is the 65570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4299424900

4299424900 is an abundant number, since it is smaller than the sum of its proper divisors (5265139361).

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

4299424900 is an equidigital number, since it uses as much as digits as its factorization.

4299424900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The cubic root of 4299424900 is about 1626.0608331540.

Multiplying 4299424900 by its product of nonzero digits (186624), we get a square (802375872537600 = 283262402).

The spelling of 4299424900 in words is "four billion, two hundred ninety-nine million, four hundred twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 79 83 100 158 166 316 332 395 415 790 830 1580 1660 1975 2075 3950 4150 6241 6557 6889 7900 8300 12482 13114 13778 24964 26228 27556 31205 32785 34445 62410 65570 68890 124820 131140 137780 156025 163925 172225 312050 327850 344450 518003 544231 624100 655700 688900 1036006 1088462 2072012 2176924 2590015 2721155 5180030 5442310 10360060 10884620 12950075 13605775 25900150 27211550 42994249 51800300 54423100 85988498 171976996 214971245 429942490 859884980 1074856225 2149712450 4299424900