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2490624 = 28322347
BaseRepresentation
bin1001100000000100000000
311200112111100
421200010000
51114144444
6125214400
730112203
oct11400400
94615440
102490624
111451274
12a01400
13692856
1448b93a
15342e69
hex260100

2490624 has 108 divisors (see below), whose sum is σ = 7652736. Its totient is φ = 777216.

The previous prime is 2490623. The next prime is 2490637. The reversal of 2490624 is 4260942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2490623) 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, 52969 + ... + 53015.

22490624 is an apocalyptic number.

2490624 is a gapful number since it is divisible by the number (24) 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 2490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826368).

2490624 is an abundant number, since it is smaller than the sum of its proper divisors (5162112).

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

2490624 is a wasteful number, since it uses less digits than its factorization.

2490624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2490624 is about 1578.1710933863. The cubic root of 2490624 is about 135.5509990804.

The spelling of 2490624 in words is "two million, four hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 47 48 64 69 72 92 94 96 128 138 141 144 184 188 192 207 256 276 282 288 368 376 384 414 423 552 564 576 736 752 768 828 846 1081 1104 1128 1152 1472 1504 1656 1692 2162 2208 2256 2304 2944 3008 3243 3312 3384 4324 4416 4512 5888 6016 6486 6624 6768 8648 8832 9024 9729 12032 12972 13248 13536 17296 17664 18048 19458 25944 26496 27072 34592 36096 38916 51888 52992 54144 69184 77832 103776 108288 138368 155664 207552 276736 311328 415104 622656 830208 1245312 2490624