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2892064704 = 263101293509
BaseRepresentation
bin1010110001100001…
…0110011111000000
321110112221002221120
42230120112133000
521410332032304
61154550552240
7131445100344
oct25430263700
97415832846
102892064704
11125454a021
12688668680
13371222bb9
141d614b624
1511dd730d9
hexac6167c0

2892064704 has 112 divisors (see below), whose sum is σ = 7769291040. Its totient is φ = 949350400.

The previous prime is 2892064697. The next prime is 2892064711. The reversal of 2892064704 is 4074602982.

It is an interprime number because it is at equal distance from previous prime (2892064697) and next prime (2892064711).

It is a congruent number.

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, 5681602 + ... + 5682110.

It is an arithmetic number, because the mean of its divisors is an integer number (69368670).

Almost surely, 22892064704 is an apocalyptic number.

2892064704 is a gapful number since it is divisible by the number (24) 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 2892064704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884645520).

2892064704 is an abundant number, since it is smaller than the sum of its proper divisors (4877226336).

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

2892064704 is a wasteful number, since it uses less digits than its factorization.

2892064704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2892064704 is about 53777.9202275432. The cubic root of 2892064704 is about 1424.7412607486.

The spelling of 2892064704 in words is "two billion, eight hundred ninety-two million, sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 293 303 404 509 586 606 808 879 1018 1172 1212 1527 1616 1758 2036 2344 2424 3054 3232 3516 4072 4688 4848 6108 6464 7032 8144 9376 9696 12216 14064 16288 18752 19392 24432 28128 29593 32576 48864 51409 56256 59186 88779 97728 102818 118372 149137 154227 177558 205636 236744 298274 308454 355116 411272 447411 473488 596548 616908 710232 822544 894822 946976 1193096 1233816 1420464 1645088 1789644 1893952 2386192 2467632 2840928 3290176 3579288 4772384 4935264 5681856 7158576 9544768 9870528 14317152 15062837 28634304 30125674 45188511 60251348 90377022 120502696 180754044 241005392 361508088 482010784 723016176 964021568 1446032352 2892064704