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2494632 = 233731479
BaseRepresentation
bin1001100001000010101000
311200201222210
421201002220
51114312012
6125245120
730126660
oct11410250
94621883
102494632
111454288
12a037a0
1369461a
1448d1a0
1534423c
hex2610a8

2494632 has 64 divisors (see below), whose sum is σ = 7372800. Its totient is φ = 688320.

The previous prime is 2494627. The next prime is 2494637. The reversal of 2494632 is 2364942.

It is an interprime number because it is at equal distance from previous prime (2494627) and next prime (2494637).

It is a d-powerful number, because it can be written as 217 + 46 + 92 + 49 + 6 + 34 + 221 .

It is a self number, because there is not a number n which added to its sum of digits gives 2494632.

It is not an unprimeable number, because it can be changed into a prime (2494637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4969 + ... + 5447.

It is an arithmetic number, because the mean of its divisors is an integer number (115200).

22494632 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 2494632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686400).

2494632 is an abundant number, since it is smaller than the sum of its proper divisors (4878168).

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

2494632 is a wasteful number, since it uses less digits than its factorization.

2494632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 522 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 2494632 is about 1579.4404072329. The cubic root of 2494632 is about 135.6236712619.

The spelling of 2494632 in words is "two million, four hundred ninety-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 479 651 744 868 958 1302 1437 1736 1916 2604 2874 3353 3832 5208 5748 6706 10059 11496 13412 14849 20118 26824 29698 40236 44547 59396 80472 89094 103943 118792 178188 207886 311829 356376 415772 623658 831544 1247316 2494632