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2382098868 = 223523127839
BaseRepresentation
bin1000110111111011…
…1111000110110100
320011000100011100000
42031332333012310
514334304130433
61032212351300
7113013335442
oct21576770664
96130304300
102382098868
1110126a6156
12565915530
132bc68b976
1418851db92
15de1dc113
hex8dfbf1b4

2382098868 has 144 divisors (see below), whose sum is σ = 6575063040. Its totient is φ = 752631264.

The previous prime is 2382098783. The next prime is 2382098879. The reversal of 2382098868 is 8688902832.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2838793 + ... + 2839631.

It is an arithmetic number, because the mean of its divisors is an integer number (45660160).

Almost surely, 22382098868 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 2382098868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287531520).

2382098868 is an abundant number, since it is smaller than the sum of its proper divisors (4192964172).

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

2382098868 is a wasteful number, since it uses less digits than its factorization.

2382098868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 2382098868 is about 48806.7502298606. The cubic root of 2382098868 is about 1335.5288095678.

The spelling of 2382098868 in words is "two billion, three hundred eighty-two million, ninety-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 127 138 162 207 243 254 276 324 381 414 486 508 621 762 828 839 972 1143 1242 1524 1678 1863 2286 2484 2517 2921 3356 3429 3726 4572 5034 5589 5842 6858 7452 7551 8763 10068 10287 11178 11684 13716 15102 17526 19297 20574 22356 22653 26289 30204 30861 35052 38594 41148 45306 52578 57891 61722 67959 77188 78867 90612 105156 106553 115782 123444 135918 157734 173673 203877 213106 231564 236601 271836 315468 319659 347346 407754 426212 473202 521019 639318 694692 709803 815508 946404 958977 1042038 1278636 1419606 1563057 1917954 2084076 2450719 2839212 2876931 3126114 3835908 4689171 4901438 5753862 6252228 7352157 8630793 9378342 9802876 11507724 14704314 17261586 18756684 22056471 25892379 29408628 34523172 44112942 51784758 66169413 88225884 103569516 132338826 198508239 264677652 397016478 595524717 794032956 1191049434 2382098868