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245977480 = 23573723743
BaseRepresentation
bin11101010100101…
…01000110001000
3122010211221200001
432222111012020
51000432234410
640224052344
76044526340
oct1652250610
9563757601
10245977480
11116936581
126a4640b4
133bc64808
142494dd20
15168dc33a
hexea95188

245977480 has 64 divisors (see below), whose sum is σ = 649635840. Its totient is φ = 82052352.

The previous prime is 245977469. The next prime is 245977513. The reversal of 245977480 is 84779542.

245977480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 245977480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1512 + ... + 22231.

It is an arithmetic number, because the mean of its divisors is an integer number (10150560).

Almost surely, 2245977480 is an apocalyptic number.

245977480 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 245977480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324817920).

245977480 is an abundant number, since it is smaller than the sum of its proper divisors (403658360).

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

245977480 is a wasteful number, since it uses less digits than its factorization.

245977480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23798 (or 23794 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 245977480 is about 15683.6692135482. The cubic root of 245977480 is about 626.5635349120.

The spelling of 245977480 in words is "two hundred forty-five million, nine hundred seventy-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 5180 10360 23743 47486 94972 118715 166201 189944 237430 332402 474860 664804 831005 878491 949720 1329608 1662010 1756982 3324020 3513964 4392455 6149437 6648040 7027928 8784910 12298874 17569820 24597748 30747185 35139640 49195496 61494370 122988740 245977480