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2482848 = 253237233
BaseRepresentation
bin1001011110001010100000
311200010211100
421132022200
51113422343
6125114400
730050424
oct11361240
94603740
102482848
111446445
129b8a00
1368c154
14488b84
153409d3
hex25e2a0

2482848 has 72 divisors (see below), whose sum is σ = 7282548. Its totient is φ = 801792.

The previous prime is 2482841. The next prime is 2482849. The reversal of 2482848 is 8482842.

It can be written as a sum of positive squares in 2 ways, for example, as 2471184 + 11664 = 1572^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×24828482 = 12329068382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2482841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10540 + ... + 10772.

22482848 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 2482848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641274).

2482848 is an abundant number, since it is smaller than the sum of its proper divisors (4799700).

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

2482848 is a wasteful number, since it uses less digits than its factorization.

2482848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 2482848 is about 1575.7055562509. The cubic root of 2482848 is about 135.4097836765.

The spelling of 2482848 in words is "two million, four hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 233 288 296 333 444 466 592 666 699 888 932 1184 1332 1398 1776 1864 2097 2664 2796 3552 3728 4194 5328 5592 7456 8388 8621 10656 11184 16776 17242 22368 25863 33552 34484 51726 67104 68968 77589 103452 137936 155178 206904 275872 310356 413808 620712 827616 1241424 2482848