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2168460448 = 25711880057
BaseRepresentation
bin1000000101000000…
…0001010010100000
312121010100012111221
42001100001102200
513420111213243
6555101344424
7104510416060
oct20120012240
95533305457
102168460448
11a13048480
12506268114
1328733a9bb
14167dcb3a0
15ca58bbed
hex814014a0

2168460448 has 48 divisors (see below), whose sum is σ = 5322590784. Its totient is φ = 844853760.

The previous prime is 2168460433. The next prime is 2168460451. The reversal of 2168460448 is 8440648612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437565 + ... + 442492.

It is an arithmetic number, because the mean of its divisors is an integer number (110887308).

Almost surely, 22168460448 is an apocalyptic number.

2168460448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2168460448 is an abundant number, since it is smaller than the sum of its proper divisors (3154130336).

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

2168460448 is a wasteful number, since it uses less digits than its factorization.

2168460448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880085 (or 880077 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The square root of 2168460448 is about 46566.7311285643. The cubic root of 2168460448 is about 1294.3463451362.

The spelling of 2168460448 in words is "two billion, one hundred sixty-eight million, four hundred sixty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 880057 1760114 3520228 6160399 7040456 9680627 12320798 14080912 19361254 24641596 28161824 38722508 49283192 67764389 77445016 98566384 135528778 154890032 197132768 271057556 309780064 542115112 1084230224 2168460448