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2619422008 = 237222729437
BaseRepresentation
bin1001110000100001…
…0011010100111000
320202112220102110221
42130020103110320
520331033001013
61111531145424
7121624501600
oct23410232470
96675812427
102619422008
111124660585
126112a5274
133298b3268
141abc59c00
15104e6a08d
hex9c213538

2619422008 has 48 divisors (see below), whose sum is σ = 5738643720. Its totient is φ = 1117626048.

The previous prime is 2619421991. The next prime is 2619422077. The reversal of 2619422008 is 8002249162.

It is a super-2 number, since 2×26194220082 = 13722743311989504128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74266 + ... + 103702.

Almost surely, 22619422008 is an apocalyptic number.

2619422008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2619422008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869321860).

2619422008 is an abundant number, since it is smaller than the sum of its proper divisors (3119221712).

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

2619422008 is a wasteful number, since it uses less digits than its factorization.

2619422008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29684 (or 29673 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2619422008 is about 51180.2892527973. The cubic root of 2619422008 is about 1378.4842995979.

The spelling of 2619422008 in words is "two billion, six hundred nineteen million, four hundred twenty-two thousand, eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 227 392 454 908 1589 1816 3178 6356 11123 12712 22246 29437 44492 58874 88984 117748 206059 235496 412118 824236 1442413 1648472 2884826 5769652 6682199 11539304 13364398 26728796 46775393 53457592 93550786 187101572 327427751 374203144 654855502 1309711004 2619422008