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42100245 = 32511175003
BaseRepresentation
bin1010000010011…
…0011000010101
32221012220200100
42200212120111
541234201440
64102204313
71020563145
oct240463025
987186610
1042100245
11218455a0
1212123699
1389507b5
14583c925
153a69230
hex2826615

42100245 has 48 divisors (see below), whose sum is σ = 84307392. Its totient is φ = 19207680.

The previous prime is 42100229. The next prime is 42100249. The reversal of 42100245 is 54200124.

42100245 is a `hidden beast` number, since 421 + 0 + 0 + 245 = 666.

It is not a de Polignac number, because 42100245 - 24 = 42100229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42100249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5914 + ... + 10916.

It is an arithmetic number, because the mean of its divisors is an integer number (1756404).

Almost surely, 242100245 is an apocalyptic number.

42100245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42100245 is an abundant number, since it is smaller than the sum of its proper divisors (42207147).

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

42100245 is a wasteful number, since it uses less digits than its factorization.

42100245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42100245 is about 6488.4701586738. The cubic root of 42100245 is about 347.8789957819.

Adding to 42100245 its reverse (54200124), we get a palindrome (96300369).

It can be divided in two parts, 421002 and 45, that multiplied together give a triangular number (18945090 = T6155).

The spelling of 42100245 in words is "forty-two million, one hundred thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 5003 8415 15009 25015 45027 55033 75045 85051 165099 225135 255153 275165 425255 495297 765459 825495 935561 1275765 2476485 2806683 3827295 4677805 8420049 14033415 42100245