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2542650 = 2352112367
BaseRepresentation
bin1001101100110000111010
311210011212020
421230300322
51122331100
6130255310
730416655
oct11546072
94704766
102542650
111487370
12a27536
136b0436
144a289c
153535a0
hex26cc3a

2542650 has 96 divisors (see below), whose sum is σ = 7285248. Its totient is φ = 580800.

The previous prime is 2542649. The next prime is 2542669. The reversal of 2542650 is 562452.

2542650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 212 + 52 + 46 + 221 + 66 + 58 + 0 .

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 2542650.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37917 + ... + 37983.

It is an arithmetic number, because the mean of its divisors is an integer number (75888).

22542650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642624).

2542650 is an abundant number, since it is smaller than the sum of its proper divisors (4742598).

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

2542650 is a wasteful number, since it uses less digits than its factorization.

2542650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2542650 is about 1594.5689072599. The cubic root of 2542650 is about 136.4883324031.

The spelling of 2542650 in words is "two million, five hundred forty-two thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 23 25 30 33 46 50 55 66 67 69 75 110 115 134 138 150 165 201 230 253 275 330 335 345 402 506 550 575 670 690 737 759 825 1005 1150 1265 1474 1518 1541 1650 1675 1725 2010 2211 2530 3082 3350 3450 3685 3795 4422 4623 5025 6325 7370 7590 7705 9246 10050 11055 12650 15410 16951 18425 18975 22110 23115 33902 36850 37950 38525 46230 50853 55275 77050 84755 101706 110550 115575 169510 231150 254265 423775 508530 847550 1271325 2542650