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541413250 = 25372193229
BaseRepresentation
bin100000010001010…
…100111110000010
31101201202122100121
4200101110332002
52102100211000
6125420210454
716262636200
oct4021247602
91351678317
10541413250
11258682874
12131399a2a
1388224c91
1451c96070
15327e8b1a
hex20454f82

541413250 has 96 divisors (see below), whose sum is σ = 1190283120. Its totient is φ = 183859200.

The previous prime is 541413211. The next prime is 541413287. The reversal of 541413250 is 52314145.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 48706441 + 492706809 = 6979^2 + 22197^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 2364136 + ... + 2364364.

Almost surely, 2541413250 is an apocalyptic number.

541413250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

541413250 is an abundant number, since it is smaller than the sum of its proper divisors (648869870).

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

541413250 is a wasteful number, since it uses less digits than its factorization.

541413250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 541413250 is about 23268.2885060333. The cubic root of 541413250 is about 815.0350644203.

Adding to 541413250 its reverse (52314145), we get a palindrome (593727395).

The spelling of 541413250 in words is "five hundred forty-one million, four hundred thirteen thousand, two hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 125 175 193 229 245 250 350 386 458 490 875 965 1145 1225 1351 1603 1750 1930 2290 2450 2702 3206 4825 5725 6125 6755 8015 9457 9650 11221 11450 12250 13510 16030 18914 22442 24125 28625 33775 40075 44197 47285 48250 56105 57250 67550 80150 88394 94570 112210 168875 200375 220985 236425 280525 309379 337750 400750 441970 472850 561050 618758 1104925 1182125 1402625 1546895 2165653 2209850 2364250 2805250 3093790 4331306 5524625 7734475 10828265 11049250 15468950 21656530 38672375 54141325 77344750 108282650 270706625 541413250