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2742248656 = 247611992017
BaseRepresentation
bin1010001101110011…
…0110010011010000
321002010000122222001
42203130312103100
521104003424111
61132035523344
7124645505020
oct24334662320
97063018861
102742248656
111187a23004
12646459554
13349189954
141c02ada80
15110b2d1c1
hexa37364d0

2742248656 has 80 divisors (see below), whose sum is σ = 6205753600. Its totient is φ = 1149603840.

The previous prime is 2742248653. The next prime is 2742248657. The reversal of 2742248656 is 6568422472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742248653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1358560 + ... + 1360576.

It is an arithmetic number, because the mean of its divisors is an integer number (77571920).

Almost surely, 22742248656 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 2742248656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102876800).

2742248656 is an abundant number, since it is smaller than the sum of its proper divisors (3463504944).

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

2742248656 is a wasteful number, since it uses less digits than its factorization.

2742248656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2286 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 46.

The square root of 2742248656 is about 52366.4840904944. The cubic root of 2742248656 is about 1399.7020889919.

The spelling of 2742248656 in words is "two billion, seven hundred forty-two million, two hundred forty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 199 244 398 427 488 796 854 976 1393 1592 1708 2017 2786 3184 3416 4034 5572 6832 8068 11144 12139 14119 16136 22288 24278 28238 32272 48556 56476 84973 97112 112952 123037 169946 194224 225904 246074 339892 401383 492148 679784 802766 861259 984296 1359568 1605532 1722518 1968592 2809681 3211064 3445036 5619362 6422128 6890072 11238724 13780144 22477448 24484363 44954896 48968726 97937452 171390541 195874904 342781082 391749808 685562164 1371124328 2742248656