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802848340 = 225722713023
BaseRepresentation
bin101111110110100…
…111111001010100
32001221200220212201
4233312213321110
53121012121330
6211355454244
725616045500
oct5766477124
92057626781
10802848340
11382206928
121a4a57384
13ca43c4b8
14788ab300
154a73aeca
hex2fda7e54

802848340 has 72 divisors (see below), whose sum is σ = 1969132032. Its totient is φ = 274155840.

The previous prime is 802848317. The next prime is 802848367. The reversal of 802848340 is 43848208.

It is a self number, because there is not a number n which added to its sum of digits gives 802848340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264069 + ... + 267091.

It is an arithmetic number, because the mean of its divisors is an integer number (27349056).

Almost surely, 2802848340 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 802848340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984566016).

802848340 is an abundant number, since it is smaller than the sum of its proper divisors (1166283692).

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

802848340 is a wasteful number, since it uses less digits than its factorization.

802848340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 802848340 is about 28334.5785216579. The cubic root of 802848340 is about 929.4181970157.

The spelling of 802848340 in words is "eight hundred two million, eight hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 271 490 542 980 1084 1355 1897 2710 3023 3794 5420 6046 7588 9485 12092 13279 15115 18970 21161 26558 30230 37940 42322 53116 60460 66395 84644 105805 132790 148127 211610 265580 296254 423220 592508 740635 819233 1481270 1638466 2962540 3276932 4096165 5734631 8192330 11469262 16384660 22938524 28673155 40142417 57346310 80284834 114692620 160569668 200712085 401424170 802848340