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8048338408 = 2311643142237
BaseRepresentation
bin1110111111011011…
…11110010111101000
3202202220100221201201
413133231332113220
5112440333312113
63410343453544
7403305514315
oct73755762750
922686327651
108048338408
113460093850
1216874572b4
139b3569126
14564c8bd0c
15321897cdd
hex1dfb7e5e8

8048338408 has 32 divisors (see below), whose sum is σ = 16488228960. Its totient is φ = 3652620480.

The previous prime is 8048338393. The next prime is 8048338427.

8048338408 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×80483384082 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14535 + ... + 127702.

It is an arithmetic number, because the mean of its divisors is an integer number (515257155).

Almost surely, 28048338408 is an apocalyptic number.

8048338408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8048338408 is an abundant number, since it is smaller than the sum of its proper divisors (8439890552).

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

8048338408 is a wasteful number, since it uses less digits than its factorization.

8048338408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142897 (or 142893 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The square root of 8048338408 is about 89712.5320565639. The cubic root of 8048338408 is about 2004.0201145918.

The spelling of 8048338408 in words is "eight billion, forty-eight million, three hundred thirty-eight thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 44 88 643 1286 2572 5144 7073 14146 28292 56584 142237 284474 568948 1137896 1564607 3129214 6258428 12516856 91458391 182916782 365833564 731667128 1006042301 2012084602 4024169204 8048338408