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2978725652 = 2271779113701
BaseRepresentation
bin1011000110001011…
…1011111100010100
321200120222221102022
42301202323330110
522100023210102
61211324232312
7133546515230
oct26142737424
97616887368
102978725652
11129945a741
126b169b698
13386176076
142038695c0
151267905a2
hexb18bbf14

2978725652 has 96 divisors (see below), whose sum is σ = 6453457920. Its totient is φ = 1174118400.

The previous prime is 2978725643. The next prime is 2978725657. The reversal of 2978725652 is 2565278792.

It is a junction number, because it is equal to n+sod(n) for n = 2978725594 and 2978725603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978725657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4248902 + ... + 4249602.

It is an arithmetic number, because the mean of its divisors is an integer number (67223520).

Almost surely, 22978725652 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 2978725652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226728960).

2978725652 is an abundant number, since it is smaller than the sum of its proper divisors (3474732268).

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

2978725652 is a wasteful number, since it uses less digits than its factorization.

2978725652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 919 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 53.

The square root of 2978725652 is about 54577.7028831372. The cubic root of 2978725652 is about 1438.8322664019.

The spelling of 2978725652 in words is "two billion, nine hundred seventy-eight million, seven hundred twenty-five thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 68 79 113 119 158 226 238 316 452 476 553 701 791 1106 1343 1402 1582 1921 2212 2686 2804 3164 3842 4907 5372 7684 8927 9401 9814 11917 13447 17854 18802 19628 23834 26894 35708 37604 47668 53788 55379 62489 79213 83419 110758 124978 151759 158426 166838 221516 249956 303518 316852 333676 387653 554491 607036 775306 941443 1062313 1108982 1346621 1550612 1882886 2124626 2217964 2693242 3765772 4249252 5386484 6257827 6590101 9426347 12515654 13180202 18852694 25031308 26360404 37705388 43804789 87609578 106383059 175219156 212766118 425532236 744681413 1489362826 2978725652