Search a number
-
+
3978455616 = 26347310513
BaseRepresentation
bin1110110100100010…
…0110101001000000
3101021021011111010000
43231020212221000
531121441034431
61454440040000
7200406212652
oct35510465100
911237144100
103978455616
111761809653
12930463000
134b531a365
1429a5466d2
1518441b9e6
hexed226a40

3978455616 has 140 divisors (see below), whose sum is σ = 11956079212. Its totient is φ = 1307860992.

The previous prime is 3978455603. The next prime is 3978455629. The reversal of 3978455616 is 6165548793.

3978455616 is a `hidden beast` number, since 3 + 9 + 7 + 84 + 556 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3978455603) and next prime (3978455629).

It can be written as a sum of positive squares in 2 ways, for example, as 702038016 + 3276417600 = 26496^2 + 57240^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 373176 + ... + 383688.

Almost surely, 23978455616 is an apocalyptic number.

3978455616 is a gapful number since it is divisible by the number (36) 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 3978455616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978039606).

3978455616 is an abundant number, since it is smaller than the sum of its proper divisors (7977623596).

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

3978455616 is a wasteful number, since it uses less digits than its factorization.

3978455616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10610 (or 10591 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 3978455616 is about 63074.9999286564. Note that the first 4 decimals coincide. The cubic root of 3978455616 is about 1584.5459550555.

The spelling of 3978455616 in words is "three billion, nine hundred seventy-eight million, four hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 144 146 162 192 216 219 288 292 324 432 438 576 584 648 657 864 876 1168 1296 1314 1728 1752 1971 2336 2592 2628 3504 3942 4672 5184 5256 5913 7008 7884 10512 10513 11826 14016 15768 21024 21026 23652 31536 31539 42048 42052 47304 63072 63078 84104 94608 94617 126144 126156 168208 189216 189234 252312 283851 336416 378432 378468 504624 567702 672832 756936 767449 851553 1009248 1135404 1513872 1534898 1703106 2018496 2270808 2302347 3027744 3069796 3406212 4541616 4604694 6055488 6139592 6812424 6907041 9083232 9209388 12279184 13624848 13814082 18166464 18418776 20721123 24558368 27249696 27628164 36837552 41442246 49116736 54499392 55256328 62163369 73675104 82884492 110512656 124326738 147350208 165768984 221025312 248653476 331537968 442050624 497306952 663075936 994613904 1326151872 1989227808 3978455616