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2498048 = 2971741
BaseRepresentation
bin1001100001111000000000
311200220200022
421201320000
51114414143
6125313012
730142640
oct11417000
94626608
102498048
111456903
12a05768
13696047
14490520
15345268
hex261e00

2498048 has 80 divisors (see below), whose sum is σ = 6187104. Its totient is φ = 983040.

The previous prime is 2498021. The next prime is 2498071. The reversal of 2498048 is 8408942.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2497999 and 2498017.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 60908 + ... + 60948.

22498048 is an apocalyptic number.

2498048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2498048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093552).

2498048 is an abundant number, since it is smaller than the sum of its proper divisors (3689056).

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

2498048 is an equidigital number, since it uses as much as digits as its factorization.

2498048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 2498048 is about 1580.5214329455. The cubic root of 2498048 is about 135.6855480109.

The spelling of 2498048 in words is "two million, four hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 56 64 68 82 112 119 128 136 164 224 238 256 272 287 328 448 476 512 544 574 656 697 896 952 1088 1148 1312 1394 1792 1904 2176 2296 2624 2788 3584 3808 4352 4592 4879 5248 5576 7616 8704 9184 9758 10496 11152 15232 18368 19516 20992 22304 30464 36736 39032 44608 60928 73472 78064 89216 146944 156128 178432 312256 356864 624512 1249024 2498048