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428248462224 = 24311811076633
BaseRepresentation
bin1100011101101011001…
…10001111001110010000
31111221101101000221020110
412032311212033032100
524004023101242344
6524422402441320
742640252603512
oct6166546171620
91457341027213
10428248462224
1115568a102150
126abb7663240
13314cab8084b
1416a27b4bbb2
15b21688d3b9
hex63b598f390

428248462224 has 40 divisors (see below), whose sum is σ = 1206882031392. Its totient is φ = 129772261120.

The previous prime is 428248462199. The next prime is 428248462273. The reversal of 428248462224 is 422264842824.

428248462224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405537789 + ... + 405538844.

Almost surely, 2428248462224 is an apocalyptic number.

428248462224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428248462224 is an abundant number, since it is smaller than the sum of its proper divisors (778633569168).

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

428248462224 is a wasteful number, since it uses less digits than its factorization.

428248462224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811076655 (or 811076649 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 48.

The spelling of 428248462224 in words is "four hundred twenty-eight billion, two hundred forty-eight million, four hundred sixty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 811076633 1622153266 2433229899 3244306532 4866459798 6488613064 8921842963 9732919596 12977226128 17843685926 19465839192 26765528889 35687371852 38931678384 53531057778 71374743704 107062115556 142749487408 214124231112 428248462224