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804497430 = 2351119314139
BaseRepresentation
bin101111111100111…
…010100000010110
32002001210201000010
4233330322200112
53121422404210
6211455101050
725636054362
oct5774724026
92061721003
10804497430
11383132910
121a5511786
13ca898ca9
1478bba2a2
154a964920
hex2ff3a816

804497430 has 128 divisors (see below), whose sum is σ = 2289254400. Its totient is φ = 178761600.

The previous prime is 804497387. The next prime is 804497479. The reversal of 804497430 is 34794408.

It is a super-2 number, since 2×8044974302 = 1294432229753209800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192301 + ... + 196439.

It is an arithmetic number, because the mean of its divisors is an integer number (17884800).

Almost surely, 2804497430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804497430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144627200).

804497430 is an abundant number, since it is smaller than the sum of its proper divisors (1484756970).

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

804497430 is a wasteful number, since it uses less digits than its factorization.

804497430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210.

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 804497430 is about 28363.6639029587. The cubic root of 804497430 is about 930.0541187145.

The spelling of 804497430 in words is "eight hundred four million, four hundred ninety-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 31 33 38 55 57 62 66 93 95 110 114 155 165 186 190 209 285 310 330 341 418 465 570 589 627 682 930 1023 1045 1178 1254 1705 1767 2046 2090 2945 3135 3410 3534 4139 5115 5890 6270 6479 8278 8835 10230 12417 12958 17670 19437 20695 24834 32395 38874 41390 45529 62085 64790 78641 91058 97185 124170 128309 136587 157282 194370 227645 235923 256618 273174 384927 393205 455290 471846 641545 682935 769854 786410 865051 1179615 1283090 1365870 1411399 1730102 1924635 2359230 2437871 2595153 2822798 3849270 4234197 4325255 4875742 5190306 7056995 7313613 8468394 8650510 12189355 12975765 14113990 14627226 21170985 24378710 25951530 26816581 36568065 42341970 53633162 73136130 80449743 134082905 160899486 268165810 402248715 804497430