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8244004428 = 22321121892563
BaseRepresentation
bin1111010110110000…
…11000011001001100
3210021112112211001100
413223120120121030
5113340431120203
63442013343100
7411202611222
oct75330303114
923245484040
108244004428
113550586600
121720a97a90
13a14c6683a
14582c62b12
15333b47ea3
hex1eb61864c

8244004428 has 54 divisors (see below), whose sum is σ = 22905702092. Its totient is φ = 2498181840.

The previous prime is 8244004427. The next prime is 8244004441.

8244004428 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8244004392 and 8244004401.

It is not an unprimeable number, because it can be changed into a prime (8244004427) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 941926 + ... + 950637.

Almost surely, 28244004428 is an apocalyptic number.

It is an amenable number.

8244004428 is an abundant number, since it is smaller than the sum of its proper divisors (14661697664).

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

8244004428 is a wasteful number, since it uses less digits than its factorization.

8244004428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892595 (or 1892579 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 8244004428 is about 90796.5000867324. The cubic root of 8244004428 is about 2020.1304059196.

It can be divided in two parts, 824400 and 4428, that added together give a palindrome (828828).

The spelling of 8244004428 in words is "eight billion, two hundred forty-four million, four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 1892563 3785126 5677689 7570252 11355378 17033067 20818193 22710756 34066134 41636386 62454579 68132268 83272772 124909158 187363737 229000123 249818316 374727474 458000246 687000369 749454948 916000492 1374000738 2061001107 2748001476 4122002214 8244004428