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8349978492 = 22324153106739
BaseRepresentation
bin1111100011011001…
…01000111101111100
3210112220221212010200
413301230220331330
5114100043302432
63500321003500
7413630434422
oct76154507574
923486855120
108349978492
1135a5388479
121750483590
13a30bbc59b
14592d6b112
1533d0cca7c
hex1f1b28f7c

8349978492 has 72 divisors (see below), whose sum is σ = 22029855120. Its totient is φ = 2664180480.

The previous prime is 8349978467. The next prime is 8349978493. The reversal of 8349978492 is 2948799438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8349978493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24859 + ... + 131597.

It is an arithmetic number, because the mean of its divisors is an integer number (305970210).

Almost surely, 28349978492 is an apocalyptic number.

8349978492 is a gapful number since it is divisible by the number (82) 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 8349978492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11014927560).

8349978492 is an abundant number, since it is smaller than the sum of its proper divisors (13679876628).

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

8349978492 is a wasteful number, since it uses less digits than its factorization.

8349978492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106843 (or 106838 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 8349978492 is about 91378.2167258696. The cubic root of 8349978492 is about 2028.7496236744.

The spelling of 8349978492 in words is "eight billion, three hundred forty-nine million, nine hundred seventy-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 53 82 106 123 159 164 212 246 318 369 477 492 636 738 954 1476 1908 2173 4346 6519 8692 13038 19557 26076 39114 78228 106739 213478 320217 426956 640434 960651 1280868 1921302 3842604 4376299 5657167 8752598 11314334 13128897 16971501 17505196 22628668 26257794 33943002 39386691 50914503 52515588 67886004 78773382 101829006 157546764 203658012 231943847 463887694 695831541 927775388 1391663082 2087494623 2783326164 4174989246 8349978492