Search a number
-
+
4380164844 = 22311167198701
BaseRepresentation
bin1000001010001010…
…00000001011101100
3102022021001102120120
410011011000023230
532432310233334
62002350044540
7213354533616
oct40505001354
912267042516
104380164844
111948541750
12a22aa9750
1354a609923
142d7a33db6
151a981b949
hex1051402ec

4380164844 has 48 divisors (see below), whose sum is σ = 11216330496. Its totient is φ = 1319368000.

The previous prime is 4380164837. The next prime is 4380164909. The reversal of 4380164844 is 4484610834.

It is a super-2 number, since 2×43801648442 = 38371688121227088672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4380164796 and 4380164805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77307 + ... + 121394.

It is an arithmetic number, because the mean of its divisors is an integer number (233673552).

Almost surely, 24380164844 is an apocalyptic number.

4380164844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4380164844 is an abundant number, since it is smaller than the sum of its proper divisors (6836165652).

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

4380164844 is a wasteful number, since it uses less digits than its factorization.

4380164844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198886 (or 198884 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 4380164844 is about 66182.8138114420. The cubic root of 4380164844 is about 1636.1765037936.

The spelling of 4380164844 in words is "four billion, three hundred eighty million, one hundred sixty-four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 167 334 501 668 1002 1837 2004 3674 5511 7348 11022 22044 198701 397402 596103 794804 1192206 2185711 2384412 4371422 6557133 8742844 13114266 26228532 33183067 66366134 99549201 132732268 199098402 365013737 398196804 730027474 1095041211 1460054948 2190082422 4380164844