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2482632 = 233229241
BaseRepresentation
bin1001011110000111001000
311200010112100
421132013020
51113421012
6125113400
730046665
oct11360710
94603470
102482632
111446269
129b8860
1368c019
14488a6c
153408dc
hex25e1c8

2482632 has 72 divisors (see below), whose sum is σ = 7133490. Its totient is φ = 779520.

The previous prime is 2482621. The next prime is 2482651. The reversal of 2482632 is 2362842.

2482632 is a `hidden beast` number, since 24 + 8 + 2 + 632 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1572516 + 910116 = 1254^2 + 954^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2482596 and 2482605.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60532 + ... + 60572.

22482632 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 2482632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566745).

2482632 is an abundant number, since it is smaller than the sum of its proper divisors (4650858).

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

2482632 is a wasteful number, since it uses less digits than its factorization.

2482632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 75 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2482632 is about 1575.6370140359. The cubic root of 2482632 is about 135.4058568202.

The spelling of 2482632 in words is "two million, four hundred eighty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 41 58 72 82 87 116 123 164 174 232 246 261 328 348 369 492 522 696 738 841 984 1044 1189 1476 1682 2088 2378 2523 2952 3364 3567 4756 5046 6728 7134 7569 9512 10092 10701 14268 15138 20184 21402 28536 30276 34481 42804 60552 68962 85608 103443 137924 206886 275848 310329 413772 620658 827544 1241316 2482632