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426336480 = 2533598689
BaseRepresentation
bin11001011010010…
…110000011100000
31002201020010201000
4121122112003200
51333120231410
6110145512000
713364541333
oct3132260340
91081203630
10426336480
111a97239a9
12ba942600
136a432c0b
144089c61a
1527666dc0
hex196960e0

426336480 has 96 divisors (see below), whose sum is σ = 1492192800. Its totient is φ = 113688576.

The previous prime is 426336473. The next prime is 426336499. The reversal of 426336480 is 84633624.

It is a happy number.

426336480 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 45025 + ... + 53664.

It is an arithmetic number, because the mean of its divisors is an integer number (15543675).

Almost surely, 2426336480 is an apocalyptic number.

426336480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426336480 is an abundant number, since it is smaller than the sum of its proper divisors (1065856320).

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

426336480 is a wasteful number, since it uses less digits than its factorization.

426336480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98713 (or 98699 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 426336480 is about 20647.9170862341. The cubic root of 426336480 is about 752.6345745197.

The spelling of 426336480 in words is "four hundred twenty-six million, three hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 98689 197378 296067 394756 493445 592134 789512 888201 986890 1184268 1480335 1579024 1776402 1973780 2368536 2664603 2960670 3158048 3552804 3947560 4441005 4737072 5329206 5921340 7105608 7895120 8882010 9474144 10658412 11842680 13323015 14211216 15790240 17764020 21316824 23685360 26646030 28422432 35528040 42633648 47370720 53292060 71056080 85267296 106584120 142112160 213168240 426336480