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2845890168 = 23311171274993
BaseRepresentation
bin1010100110100000…
…1101011001111000
321100100001012101120
42221220031121320
521312021441133
61150221145240
7130344444612
oct25150153170
97310035346
102845890168
111230481450
126750bb220
133647a6aa4
141cdd6bdb2
15119ca1ab3
hexa9a0d678

2845890168 has 128 divisors (see below), whose sum is σ = 8284446720. Its totient is φ = 805109760.

The previous prime is 2845890161. The next prime is 2845890169. The reversal of 2845890168 is 8610985482.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2845890168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2845890161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567480 + ... + 572472.

It is an arithmetic number, because the mean of its divisors is an integer number (64722240).

Almost surely, 22845890168 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 2845890168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142223360).

2845890168 is an abundant number, since it is smaller than the sum of its proper divisors (5438556552).

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

2845890168 is a wasteful number, since it uses less digits than its factorization.

2845890168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The square root of 2845890168 is about 53346.8852699012. The cubic root of 2845890168 is about 1417.1181001053.

The spelling of 2845890168 in words is "two billion, eight hundred forty-five million, eight hundred ninety thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 127 132 136 187 204 254 264 374 381 408 508 561 748 762 1016 1122 1397 1496 1524 2159 2244 2794 3048 4191 4318 4488 4993 5588 6477 8382 8636 9986 11176 12954 14979 16764 17272 19972 23749 25908 29958 33528 39944 47498 51816 54923 59916 71247 84881 94996 109846 119832 142494 164769 169762 189992 219692 254643 284988 329538 339524 439384 509286 569976 634111 659076 679048 933691 1018572 1268222 1318152 1867382 1902333 2037144 2536444 2801073 3734764 3804666 5072888 5602146 6975221 7469528 7609332 10779887 11204292 13950442 15218664 20925663 21559774 22408584 27900884 32339661 41851326 43119548 55801768 64679322 83702652 86239096 118578757 129358644 167405304 237157514 258717288 355736271 474315028 711472542 948630056 1422945084 2845890168