Search a number
-
+
802049094 = 233711672879
BaseRepresentation
bin101111110011100…
…100110001000110
32001220012022112000
4233303210301012
53120311032334
6211330410130
725606206360
oct5763446106
92056168460
10802049094
113818103a0
121a4730946
13ca21c782
147873dd30
154a62e299
hex2fce4c46

802049094 has 128 divisors (see below), whose sum is σ = 2256076800. Its totient is φ = 205143840.

The previous prime is 802049089. The next prime is 802049099. The reversal of 802049094 is 490940208.

It is a happy number.

802049094 is a `hidden beast` number, since 80 + 2 + 0 + 490 + 94 = 666.

It is an interprime number because it is at equal distance from previous prime (802049089) and next prime (802049099).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802049099) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277147 + ... + 280025.

It is an arithmetic number, because the mean of its divisors is an integer number (17625600).

Almost surely, 2802049094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802049094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128038400).

802049094 is an abundant number, since it is smaller than the sum of its proper divisors (1454027706).

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

802049094 is a wasteful number, since it uses less digits than its factorization.

802049094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 802049094 is about 28320.4712884514. The cubic root of 802049094 is about 929.1096786336.

It can be divided in two parts, 80204 and 9094, that added together give a palindrome (89298).

The spelling of 802049094 in words is "eight hundred two million, forty-nine thousand, ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 67 77 99 126 134 154 189 198 201 231 297 378 402 462 469 594 603 693 737 938 1206 1386 1407 1474 1809 2079 2211 2814 2879 3618 4158 4221 4422 5159 5758 6633 8442 8637 10318 12663 13266 15477 17274 19899 20153 25326 25911 30954 31669 39798 40306 46431 51822 60459 63338 77733 92862 95007 120918 139293 155466 181377 190014 192893 221683 278586 285021 362754 385786 443366 544131 570042 578679 665049 855063 1088262 1157358 1330098 1350251 1710126 1736037 1995147 2121823 2700502 3472074 3990294 4050753 4243646 5208111 5985441 6365469 8101506 10416222 11970882 12152259 12730938 14852761 19096407 24304518 29705522 36456777 38192814 44558283 57289221 72913554 89116566 114578442 133674849 267349698 401024547 802049094