Search a number
-
+
8444920524 = 22329241100693
BaseRepresentation
bin1111101110101101…
…10100001011001100
3210210112121102010020
413313112310023030
5114243344424044
63513551542140
7416162432355
oct76726641314
923715542106
108444920524
113643a34867
12177822a950
13a47781ac1
145a1802d2c
153465d3a19
hex1f75b42cc

8444920524 has 48 divisors (see below), whose sum is σ = 20469076320. Its totient is φ = 2706600960.

The previous prime is 8444920469. The next prime is 8444920529. The reversal of 8444920524 is 4250294448.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8444920529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33522 + ... + 134214.

It is an arithmetic number, because the mean of its divisors is an integer number (426439090).

Almost surely, 28444920524 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 8444920524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10234538160).

8444920524 is an abundant number, since it is smaller than the sum of its proper divisors (12024155796).

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

8444920524 is a wasteful number, since it uses less digits than its factorization.

8444920524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100970 (or 100968 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 8444920524 is about 91896.2486938395. The cubic root of 8444920524 is about 2036.4098494559.

The spelling of 8444920524 in words is "eight billion, four hundred forty-four million, nine hundred twenty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 241 348 482 723 964 1446 2892 6989 13978 20967 27956 41934 83868 100693 201386 302079 402772 604158 1208316 2920097 5840194 8760291 11680388 17520582 24267013 35041164 48534026 72801039 97068052 145602078 291204156 703743377 1407486754 2111230131 2814973508 4222460262 8444920524