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802246940 = 22511330137
BaseRepresentation
bin101111110100010…
…101000100011100
32001220120100220122
4233310111010130
53120333400230
6211334534112
725610662235
oct5764250434
92056510818
10802246940
11381936000
121a4807338
13ca28b841
147879208c
154a66cbe5
hex2fd1511c

802246940 has 48 divisors (see below), whose sum is σ = 1853125344. Its totient is φ = 291716480.

The previous prime is 802246931. The next prime is 802246957. The reversal of 802246940 is 49642208.

802246940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 802246940.

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, 11552 + ... + 41688.

It is an arithmetic number, because the mean of its divisors is an integer number (38606778).

Almost surely, 2802246940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802246940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926562672).

802246940 is an abundant number, since it is smaller than the sum of its proper divisors (1050878404).

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

802246940 is a wasteful number, since it uses less digits than its factorization.

802246940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30179 (or 30155 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 802246940 is about 28323.9640587260. The cubic root of 802246940 is about 929.1860686045.

It can be divided in two parts, 802 and 246940, that added together give a palindrome (247742).

The spelling of 802246940 in words is "eight hundred two million, two hundred forty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 2420 2662 5324 6655 13310 26620 30137 60274 120548 150685 301370 331507 602740 663014 1326028 1657535 3315070 3646577 6630140 7293154 14586308 18232885 36465770 40112347 72931540 80224694 160449388 200561735 401123470 802246940