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42520005 = 33511219137
BaseRepresentation
bin1010001000110…
…0110111000101
32222000020111000
42202030313011
541341120010
64115203513
71024262013
oct242146705
988006430
1042520005
1122001a00
12122a6599
138a69888
14590b8b3
153aed7c0
hex288cdc5

42520005 has 96 divisors (see below), whose sum is σ = 88099200. Its totient is φ = 19388160.

The previous prime is 42519959. The next prime is 42520021. The reversal of 42520005 is 50002524.

It is not a de Polignac number, because 42520005 - 27 = 42519877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42520005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310297 + ... + 310433.

It is an arithmetic number, because the mean of its divisors is an integer number (917700).

Almost surely, 242520005 is an apocalyptic number.

42520005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42520005 is an abundant number, since it is smaller than the sum of its proper divisors (45579195).

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

42520005 is a wasteful number, since it uses less digits than its factorization.

42520005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

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

The square root of 42520005 is about 6520.7365381527. The cubic root of 42520005 is about 349.0313488697.

Adding to 42520005 its reverse (50002524), we get a palindrome (92522529).

The spelling of 42520005 in words is "forty-two million, five hundred twenty thousand, five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 95 99 121 135 137 165 171 209 285 297 363 411 495 513 605 627 685 855 1045 1089 1233 1485 1507 1815 1881 2055 2299 2565 2603 3135 3267 3699 4521 5445 5643 6165 6897 7535 7809 9405 11495 13015 13563 16335 16577 18495 20691 22605 23427 28215 28633 34485 39045 40689 49731 62073 67815 70281 82885 85899 103455 117135 143165 149193 203445 248655 257697 310365 314963 351405 429495 447579 745965 773091 944889 1288485 1574815 2237895 2834667 3865455 4724445 8504001 14173335 42520005