Search a number
-
+
2386973088 = 2532671031201
BaseRepresentation
bin1000111001000110…
…0101000110100000
320011100111210111200
42032101211012200
514342031114323
61032505041200
7113102636133
oct21621450640
96140453450
102386973088
111015425235
12567486200
132c06a7416
1418902c21a
15de851443
hex8e4651a0

2386973088 has 144 divisors (see below), whose sum is σ = 6961945536. Its totient is φ = 775526400.

The previous prime is 2386973063. The next prime is 2386973101. The reversal of 2386973088 is 8803796832.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1986888 + ... + 1988088.

It is an arithmetic number, because the mean of its divisors is an integer number (48346844).

Almost surely, 22386973088 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 2386973088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480972768).

2386973088 is an abundant number, since it is smaller than the sum of its proper divisors (4574972448).

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

2386973088 is a wasteful number, since it uses less digits than its factorization.

2386973088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 2386973088 is about 48856.6585840661. The cubic root of 2386973088 is about 1336.4391029183.

The spelling of 2386973088 in words is "two billion, three hundred eighty-six million, nine hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 103 134 144 201 206 268 288 309 402 412 536 603 618 804 824 927 1072 1201 1206 1236 1608 1648 1854 2144 2402 2412 2472 3216 3296 3603 3708 4804 4824 4944 6432 6901 7206 7416 9608 9648 9888 10809 13802 14412 14832 19216 19296 20703 21618 27604 28824 29664 38432 41406 43236 55208 57648 62109 80467 82812 86472 110416 115296 123703 124218 160934 165624 172944 220832 241401 247406 248436 321868 331248 345888 371109 482802 494812 496872 643736 662496 724203 742218 965604 989624 993744 1113327 1287472 1448406 1484436 1931208 1979248 1987488 2226654 2574944 2896812 2968872 3862416 3958496 4453308 5793624 5937744 7724832 8288101 8906616 11587248 11875488 16576202 17813232 23174496 24864303 33152404 35626464 49728606 66304808 74592909 99457212 132609616 149185818 198914424 265219232 298371636 397828848 596743272 795657696 1193486544 2386973088