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82799420 = 22511596379
BaseRepresentation
bin1001110111101…
…10101100111100
312202210122110012
410323312230330
5132144040140
612114402352
72023532504
oct473665474
9182718405
1082799420
1142813480
12238903b8
1314200652
14add4a04
157408265
hex4ef6b3c

82799420 has 48 divisors (see below), whose sum is σ = 192931200. Its totient is φ = 29593920.

The previous prime is 82799417. The next prime is 82799429. The reversal of 82799420 is 2499728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82799429) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9791 + ... + 16169.

It is an arithmetic number, because the mean of its divisors is an integer number (4019400).

Almost surely, 282799420 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 82799420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96465600).

82799420 is an abundant number, since it is smaller than the sum of its proper divisors (110131780).

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

82799420 is a wasteful number, since it uses less digits than its factorization.

82799420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 82799420 is about 9099.4186627498. The cubic root of 82799420 is about 435.8554005240.

The spelling of 82799420 in words is "eighty-two million, seven hundred ninety-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 6379 6490 12758 12980 25516 31895 63790 70169 127580 140338 280676 350845 376361 701690 752722 1403380 1505444 1881805 3763610 4139971 7527220 8279942 16559884 20699855 41399710 82799420