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2940538496 = 2771929091
BaseRepresentation
bin1010111101000101…
…0000111010000000
321120221010211111012
42233101100322000
522010234212441
61203441540052
7132604110350
oct25721207200
97527124435
102940538496
111279948105
126a0944628
1337b29570c
141dc768b60
1512324a9eb
hexaf450e80

2940538496 has 96 divisors (see below), whose sum is σ = 7066666080. Its totient is φ = 1193771520.

The previous prime is 2940538493. The next prime is 2940538499. The reversal of 2940538496 is 6948350492.

It is an interprime number because it is at equal distance from previous prime (2940538493) and next prime (2940538499).

It is not an unprimeable number, because it can be changed into a prime (2940538493) by changing a digit.

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, 318911 + ... + 328001.

It is an arithmetic number, because the mean of its divisors is an integer number (73611105).

Almost surely, 22940538496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2940538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533333040).

2940538496 is an abundant number, since it is smaller than the sum of its proper divisors (4126127584).

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

2940538496 is an equidigital number, since it uses as much as digits as its factorization.

2940538496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

The square root of 2940538496 is about 54226.7323005914. The cubic root of 2940538496 is about 1432.6572100600.

The spelling of 2940538496 in words is "two billion, nine hundred forty million, five hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 361 448 532 608 722 896 1064 1216 1444 2128 2432 2527 2888 4256 5054 5776 8512 9091 10108 11552 17024 18182 20216 23104 36364 40432 46208 63637 72728 80864 127274 145456 161728 172729 254548 290912 323456 345458 509096 581824 690916 1018192 1163648 1209103 1381832 2036384 2418206 2763664 3281851 4072768 4836412 5527328 6563702 8145536 9672824 11054656 13127404 19345648 22109312 22972957 26254808 38691296 45945914 52509616 77382592 91891828 105019232 154765184 183783656 210038464 367567312 420076928 735134624 1470269248 2940538496