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2480478 = 2372111359
BaseRepresentation
bin1001011101100101011110
311200000120120
421131211132
51113333403
6125055410
730040500
oct11354536
94600516
102480478
111444690
129b7566
1368b050
14487d70
1533ee53
hex25d95e

2480478 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 584640.

The previous prime is 2480447. The next prime is 2480479. The reversal of 2480478 is 8740842.

It is a super-2 number, since 2×24804782 = 12305542216968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2480479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42013 + ... + 42071.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

22480478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2480478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2480478 is an abundant number, since it is smaller than the sum of its proper divisors (4414242).

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

2480478 is a wasteful number, since it uses less digits than its factorization.

2480478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2480478 is about 1574.9533326420. The cubic root of 2480478 is about 135.3666848704.

The spelling of 2480478 in words is "two million, four hundred eighty thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 59 66 77 78 91 98 118 143 147 154 177 182 231 273 286 294 354 413 429 462 539 546 637 649 767 826 858 1001 1078 1239 1274 1298 1534 1617 1911 1947 2002 2301 2478 2891 3003 3234 3822 3894 4543 4602 5369 5782 6006 7007 8437 8673 9086 10738 13629 14014 16107 16874 17346 21021 25311 27258 31801 32214 37583 42042 50622 59059 63602 75166 95403 112749 118118 177177 190806 225498 354354 413413 826826 1240239 2480478