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426042720 = 2533598621
BaseRepresentation
bin11001011001001…
…110010101100000
31002200200012202000
4121121032111200
51333031331340
6110135324000
713362206025
oct3131162540
91080605660
10426042720
111a9543224
12ba820600
136a35c2ac
144082354c
1527609d30
hex1964e560

426042720 has 96 divisors (see below), whose sum is σ = 1491164640. Its totient is φ = 113610240.

The previous prime is 426042713. The next prime is 426042739. The reversal of 426042720 is 27240624.

It is a happy number.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44991 + ... + 53630.

It is an arithmetic number, because the mean of its divisors is an integer number (15532965).

Almost surely, 2426042720 is an apocalyptic number.

426042720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426042720 is an abundant number, since it is smaller than the sum of its proper divisors (1065121920).

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

426042720 is a wasteful number, since it uses less digits than its factorization.

426042720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98645 (or 98631 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 426042720 is about 20640.8023099879. The cubic root of 426042720 is about 752.4616713921.

The spelling of 426042720 in words is "four hundred twenty-six million, forty-two thousand, seven hundred twenty".

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 98621 197242 295863 394484 493105 591726 788968 887589 986210 1183452 1479315 1577936 1775178 1972420 2366904 2662767 2958630 3155872 3550356 3944840 4437945 4733808 5325534 5917260 7100712 7889680 8875890 9467616 10651068 11834520 13313835 14201424 15779360 17751780 21302136 23669040 26627670 28402848 35503560 42604272 47338080 53255340 71007120 85208544 106510680 142014240 213021360 426042720