Search a number
-
+
4428703900 = 2252371319137
BaseRepresentation
bin1000001111111100…
…01010100010011100
3102102122101110122101
410013332022202130
533032222011100
62011242254444
7214514235115
oct40776124234
912378343571
104428703900
111972984875
12a371b7424
135576a306a
1430026b20c
151adc0886a
hex107f8a89c

4428703900 has 72 divisors (see below), whose sum is σ = 9946457136. Its totient is φ = 1710259200.

The previous prime is 4428703879. The next prime is 4428703919. The reversal of 4428703900 is 93078244.

It is a happy number.

It is a super-2 number, since 2×44287039002 = 39226836467750420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 4428703900.

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, 480132 + ... + 489268.

It is an arithmetic number, because the mean of its divisors is an integer number (138145238).

Almost surely, 24428703900 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 4428703900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973228568).

4428703900 is an abundant number, since it is smaller than the sum of its proper divisors (5517753236).

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

4428703900 is a wasteful number, since it uses less digits than its factorization.

4428703900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9319 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 4428703900 is about 66548.5078720778. The cubic root of 4428703900 is about 1642.1981109281.

The spelling of 4428703900 in words is "four billion, four hundred twenty-eight million, seven hundred three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 131 148 185 262 370 524 655 740 925 1310 1850 2620 3275 3700 4847 6550 9137 9694 13100 18274 19388 24235 36548 45685 48470 91370 96940 121175 182740 228425 242350 338069 456850 484700 676138 913700 1196947 1352276 1690345 2393894 3380690 4787788 5984735 6761380 8451725 11969470 16903450 23938940 29923675 33806900 44287039 59847350 88574078 119694700 177148156 221435195 442870390 885740780 1107175975 2214351950 4428703900