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2542050 = 233527269
BaseRepresentation
bin1001101100100111100010
311210011001000
421230213202
51122321200
6130252430
730415140
oct11544742
94704030
102542050
111486975
12a27116
136b0094
144a2590
15353300
hex26c9e2

2542050 has 96 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 578880.

The previous prime is 2542049. The next prime is 2542051. The reversal of 2542050 is 502452.

2542050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2542049) and next prime (2542051).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2542051) by changing a digit.

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, 9316 + ... + 9584.

It is an arithmetic number, because the mean of its divisors is an integer number (83700).

22542050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

2542050 is an abundant number, since it is smaller than the sum of its proper divisors (5493150).

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

2542050 is a wasteful number, since it uses less digits than its factorization.

2542050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2542050 is about 1594.3807575357. The cubic root of 2542050 is about 136.4775956466.

It can be divided in two parts, 254 and 2050, that added together give a square (2304 = 482).

The spelling of 2542050 in words is "two million, five hundred forty-two thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 269 270 315 350 378 450 525 538 630 675 807 945 1050 1345 1350 1575 1614 1883 1890 2421 2690 3150 3766 4035 4725 4842 5649 6725 7263 8070 9415 9450 11298 12105 13450 14526 16947 18830 20175 24210 28245 33894 36315 40350 47075 50841 56490 60525 72630 84735 94150 101682 121050 141225 169470 181575 254205 282450 363150 423675 508410 847350 1271025 2542050