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2004258368 = 2672679539
BaseRepresentation
bin111011101110110…
…1000111001000000
312011200100212121102
41313131220321000
513101042231433
6530514113532
7100444625600
oct16735507100
95150325542
102004258368
11939395a82
1247b27b8a8
1325c3086c8
14150286c00
15bae544e8
hex77768e40

2004258368 has 84 divisors (see below), whose sum is σ = 4696084080. Its totient is φ = 846058752.

The previous prime is 2004258281. The next prime is 2004258383. The reversal of 2004258368 is 8638524002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205343 + ... + 214881.

Almost surely, 22004258368 is an apocalyptic number.

2004258368 is a gapful number since it is divisible by the number (28) 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 2004258368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348042040).

2004258368 is an abundant number, since it is smaller than the sum of its proper divisors (2691825712).

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

2004258368 is an equidigital number, since it uses as much as digits as its factorization.

2004258368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9632 (or 9615 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 2004258368 is about 44768.9442359321. The cubic root of 2004258368 is about 1260.8146172517.

The spelling of 2004258368 in words is "two billion, four million, two hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 67 98 112 134 196 224 268 392 448 469 536 784 938 1072 1568 1876 2144 3136 3283 3752 4288 6566 7504 9539 13132 15008 19078 26264 30016 38156 52528 66773 76312 105056 133546 152624 210112 267092 305248 467411 534184 610496 639113 934822 1068368 1278226 1869644 2136736 2556452 3739288 4273472 4473791 5112904 7478576 8947582 10225808 14957152 17895164 20451616 29914304 31316537 35790328 40903232 62633074 71580656 125266148 143161312 250532296 286322624 501064592 1002129184 2004258368