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804426240 = 2935104743
BaseRepresentation
bin101111111100101…
…001001000000000
32002001200002100110
4233330221020000
53121413114430
6211453351320
725635340002
oct5774511000
92061602313
10804426240
11383094382
121a5498540
13ca872777
1478b9c372
154a94d7b0
hex2ff29200

804426240 has 80 divisors (see below), whose sum is σ = 2571674688. Its totient is φ = 214511616.

The previous prime is 804426167. The next prime is 804426251. The reversal of 804426240 is 42624408.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 804426198 and 804426207.

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 7 ways as a sum of consecutive naturals, for example, 44692 + ... + 60051.

Almost surely, 2804426240 is an apocalyptic number.

804426240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

804426240 is an abundant number, since it is smaller than the sum of its proper divisors (1767248448).

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

804426240 is a wasteful number, since it uses less digits than its factorization.

804426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104769 (or 104753 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 804426240 is about 28362.4089244902. The cubic root of 804426240 is about 930.0266844003.

The spelling of 804426240 in words is "eight hundred four million, four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 104743 209486 314229 418972 523715 628458 837944 1047430 1256916 1571145 1675888 2094860 2513832 3142290 3351776 4189720 5027664 6284580 6703552 8379440 10055328 12569160 13407104 16758880 20110656 25138320 26814208 33517760 40221312 50276640 53628416 67035520 80442624 100553280 134071040 160885248 201106560 268142080 402213120 804426240