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2838508140 = 22351319918287
BaseRepresentation
bin1010100100110000…
…0011001001101100
321022211011011011010
42221030003021230
521303124230030
61145355025220
7130224630636
oct25114031154
97284134133
102838508140
11122729a1a6
1267273b210
133630c0a20
141ccda9a56
151192e46b0
hexa930326c

2838508140 has 96 divisors (see below), whose sum is σ = 8602675200. Its totient is φ = 695160576.

The previous prime is 2838508111. The next prime is 2838508163. The reversal of 2838508140 is 418058382.

It is a super-3 number, since 3×28385081403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 146077 + ... + 164363.

It is an arithmetic number, because the mean of its divisors is an integer number (89611200).

Almost surely, 22838508140 is an apocalyptic number.

2838508140 is a gapful number since it is divisible by the number (20) 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 2838508140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301337600).

2838508140 is an abundant number, since it is smaller than the sum of its proper divisors (5764167060).

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

2838508140 is a wasteful number, since it uses less digits than its factorization.

2838508140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18511 (or 18509 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 2838508140 is about 53277.6514122010. The cubic root of 2838508140 is about 1415.8917393850.

The spelling of 2838508140 in words is "two billion, eight hundred thirty-eight million, five hundred eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 199 260 390 398 597 780 796 995 1194 1990 2388 2587 2985 3980 5174 5970 7761 10348 11940 12935 15522 18287 25870 31044 36574 38805 51740 54861 73148 77610 91435 109722 155220 182870 219444 237731 274305 365740 475462 548610 713193 950924 1097220 1188655 1426386 2377310 2852772 3565965 3639113 4754620 7131930 7278226 10917339 14263860 14556452 18195565 21834678 36391130 43669356 47308469 54586695 72782260 94616938 109173390 141925407 189233876 218346780 236542345 283850814 473084690 567701628 709627035 946169380 1419254070 2838508140