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2054028864 = 26371891693
BaseRepresentation
bin111101001101101…
…1111111001000000
312022011000110220010
41322123133321000
513201312410424
6535452544520
7101620646226
oct17233377100
95264013803
102054028864
1196449a318
12493a82140
132697134c4
14156b20b16
15c04d6229
hex7a6dfe40

2054028864 has 112 divisors (see below), whose sum is σ = 5576376960. Its totient is φ = 667054080.

The previous prime is 2054028811. The next prime is 2054028883. The reversal of 2054028864 is 4688204502.

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, 1212402 + ... + 1214094.

It is an arithmetic number, because the mean of its divisors is an integer number (49789080).

Almost surely, 22054028864 is an apocalyptic number.

2054028864 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 2054028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788188480).

2054028864 is an abundant number, since it is smaller than the sum of its proper divisors (3522348096).

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

2054028864 is a wasteful number, since it uses less digits than its factorization.

2054028864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 2054028864 is about 45321.3952124160. The cubic root of 2054028864 is about 1271.1657438533.

The spelling of 2054028864 in words is "two billion, fifty-four million, twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 89 96 142 178 192 213 267 284 356 426 534 568 712 852 1068 1136 1424 1693 1704 2136 2272 2848 3386 3408 4272 4544 5079 5696 6319 6772 6816 8544 10158 12638 13544 13632 17088 18957 20316 25276 27088 37914 40632 50552 54176 75828 81264 101104 108352 120203 150677 151656 162528 202208 240406 301354 303312 325056 360609 404416 452031 480812 602708 606624 721218 904062 961624 1205416 1213248 1442436 1808124 1923248 2410832 2884872 3616248 3846496 4821664 5769744 7232496 7692992 9643328 10698067 11539488 14464992 21396134 23078976 28929984 32094201 42792268 64188402 85584536 128376804 171169072 256753608 342338144 513507216 684676288 1027014432 2054028864