Search a number
-
+
41587245 = 325747532
BaseRepresentation
bin1001111010100…
…1001000101101
32220020211222100
42132221020231
541121242440
64043205313
71013325420
oct236511055
986224870
1041587245
1121525127
1211b16839
13880114b
1457479b7
1539b7230
hex27a922d

41587245 has 72 divisors (see below), whose sum is σ = 85752576. Its totient is φ = 18255744.

The previous prime is 41587237. The next prime is 41587261. The reversal of 41587245 is 54278514.

41587245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41587245 - 23 = 41587237 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 784639 + ... + 784691.

It is an arithmetic number, because the mean of its divisors is an integer number (1191008).

Almost surely, 241587245 is an apocalyptic number.

41587245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41587245 is an abundant number, since it is smaller than the sum of its proper divisors (44165331).

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

41587245 is a wasteful number, since it uses less digits than its factorization.

41587245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 115 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 41587245 is about 6448.8173334341. The cubic root of 41587245 is about 346.4602254402.

The spelling of 41587245 in words is "forty-one million, five hundred eighty-seven thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 47 53 63 105 141 159 235 265 315 329 371 423 477 705 795 987 1113 1645 1855 2115 2385 2491 2809 2961 3339 4935 5565 7473 8427 12455 14045 14805 16695 17437 19663 22419 25281 37365 42135 52311 58989 87185 98315 112095 126405 132023 156933 176967 261555 294945 396069 660115 784665 884835 924161 1188207 1980345 2772483 4620805 5941035 8317449 13862415 41587245