Search a number
-
+
4882956100 = 22521110143951
BaseRepresentation
bin1001000110000101…
…11111111101000100
3110121022010212111221
410203002333331010
540000014043400
62124310410124
7232001304421
oct44302777504
913538125457
104882956100
112086335210
12b43360944
135ca82b349
14344714d48
151d8a36c1a
hex1230bff44

4882956100 has 72 divisors (see below), whose sum is σ = 11674002816. Its totient is φ = 1758000000.

The previous prime is 4882956083. The next prime is 4882956137. The reversal of 4882956100 is 16592884.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89125 + ... + 133075.

It is an arithmetic number, because the mean of its divisors is an integer number (162138928).

Almost surely, 24882956100 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 4882956100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837001408).

4882956100 is an abundant number, since it is smaller than the sum of its proper divisors (6791046716).

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

4882956100 is a wasteful number, since it uses less digits than its factorization.

4882956100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44077 (or 44070 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 4882956100 is about 69878.1518072709. The cubic root of 4882956100 is about 1696.5276412646.

The spelling of 4882956100 in words is "four billion, eight hundred eighty-two million, nine hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 43951 55550 87902 111100 175804 219755 439510 483461 879020 966922 1098775 1933844 2197550 2417305 4395100 4439051 4834610 8878102 9669220 12086525 17756204 22195255 24173050 44390510 48346100 48829561 88781020 97659122 110976275 195318244 221952550 244147805 443905100 488295610 976591220 1220739025 2441478050 4882956100