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41315604 = 223112943251
BaseRepresentation
bin1001110110011…
…0110100010100
32212202001100120
42131212310110
541034044404
64033311540
71011114441
oct235466424
985661316
1041315604
112135a030
1211a055b0
138737605
1456b69c8
1539619d9
hex2766d14

41315604 has 96 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 11760000.

The previous prime is 41315597. The next prime is 41315609. The reversal of 41315604 is 40651314.

41315604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41315609) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 164479 + ... + 164729.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 241315604 is an apocalyptic number.

41315604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41315604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

41315604 is an abundant number, since it is smaller than the sum of its proper divisors (70451436).

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

41315604 is a wasteful number, since it uses less digits than its factorization.

41315604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 41315604 is about 6427.7215247707. The cubic root of 41315604 is about 345.7042367656.

Adding to 41315604 its reverse (40651314), we get a palindrome (81966918).

The spelling of 41315604 in words is "forty-one million, three hundred fifteen thousand, six hundred four".

Divisors: 1 2 3 4 6 11 12 22 29 33 43 44 58 66 86 87 116 129 132 172 174 251 258 319 348 473 502 516 638 753 946 957 1004 1247 1276 1419 1506 1892 1914 2494 2761 2838 3012 3741 3828 4988 5522 5676 7279 7482 8283 10793 11044 13717 14558 14964 16566 21586 21837 27434 29116 32379 33132 41151 43172 43674 54868 64758 80069 82302 87348 118723 129516 160138 164604 237446 240207 312997 320276 356169 474892 480414 625994 712338 938991 960828 1251988 1424676 1877982 3442967 3755964 6885934 10328901 13771868 20657802 41315604