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426298800 = 243521720897
BaseRepresentation
bin11001011010001…
…100110110110000
31002201011020000110
4121122030312300
51333113030200
6110145021320
713364323434
oct3132146660
91081136013
10426298800
111a96a8664
12ba924840
136a41ba15
144088c9c4
152765ab50
hex1968cdb0

426298800 has 120 divisors (see below), whose sum is σ = 1445974416. Its totient is φ = 106987520.

The previous prime is 426298799. The next prime is 426298837. The reversal of 426298800 is 8892624.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9952 + ... + 30848.

Almost surely, 2426298800 is an apocalyptic number.

426298800 is a gapful number since it is divisible by the number (40) 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 426298800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722987208).

426298800 is an abundant number, since it is smaller than the sum of its proper divisors (1019675616).

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

426298800 is a wasteful number, since it uses less digits than its factorization.

426298800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20935 (or 20924 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 426298800 is about 20647.0046253688. The cubic root of 426298800 is about 752.6124010271.

The spelling of 426298800 in words is "four hundred twenty-six million, two hundred ninety-eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 20897 41794 62691 83588 104485 125382 167176 208970 250764 313455 334352 355249 417940 501528 522425 626910 710498 835880 1003056 1044850 1065747 1253820 1420996 1567275 1671760 1776245 2089700 2131494 2507640 2841992 3134550 3552490 4179400 4262988 5015280 5328735 5683984 6269100 7104980 8358800 8525976 8881225 10657470 12538200 14209960 17051952 17762450 21314940 25076400 26643675 28419920 35524900 42629880 53287350 71049800 85259760 106574700 142099600 213149400 426298800