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6242496 = 263134161
BaseRepresentation
bin10111110100000011000000
3102202011002120
4113310003000
53044224441
6341444240
7104026461
oct27640300
912664076
106242496
113584097
122110680
1313a74b0
14b86d68
15834966
hex5f40c0

6242496 has 112 divisors (see below), whose sum is σ = 18519648. Its totient is φ = 1843200.

The previous prime is 6242479. The next prime is 6242497. The reversal of 6242496 is 6942426.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6242497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102306 + ... + 102366.

It is an arithmetic number, because the mean of its divisors is an integer number (165354).

Almost surely, 26242496 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 6242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9259824).

6242496 is an abundant number, since it is smaller than the sum of its proper divisors (12277152).

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

6242496 is a wasteful number, since it uses less digits than its factorization.

6242496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 6242496 is about 2498.4987492492. The cubic root of 6242496 is about 184.1278254823.

It can be divided in two parts, 62424 and 96, that multiplied together give a square (5992704 = 24482).

The spelling of 6242496 in words is "six million, two hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 61 64 78 82 96 104 122 123 156 164 183 192 208 244 246 312 328 366 416 488 492 533 624 656 732 793 832 976 984 1066 1248 1312 1464 1586 1599 1952 1968 2132 2379 2496 2501 2624 2928 3172 3198 3904 3936 4264 4758 5002 5856 6344 6396 7503 7872 8528 9516 10004 11712 12688 12792 15006 17056 19032 20008 25376 25584 30012 32513 34112 38064 40016 50752 51168 60024 65026 76128 80032 97539 102336 120048 130052 152256 160064 195078 240096 260104 390156 480192 520208 780312 1040416 1560624 2080832 3121248 6242496