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42497416 = 2313217432
BaseRepresentation
bin1010001000011…
…1010110001000
32221222002111101
42202013112020
541334404131
64114511144
71024136113
oct242072610
987862441
1042497416
1121a96a35
12122954b4
138a5c500
14590357a
153ae6c61
hex2887588

42497416 has 72 divisors (see below), whose sum is σ = 93533130. Its totient is φ = 18031104.

The previous prime is 42497393. The next prime is 42497417. The reversal of 42497416 is 61479424.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 27520516 + 14976900 = 5246^2 + 3870^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42497417) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 988291 + ... + 988333.

Almost surely, 242497416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42497416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46766565).

42497416 is an abundant number, since it is smaller than the sum of its proper divisors (51035714).

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

42497416 is a wasteful number, since it uses less digits than its factorization.

42497416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 75 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 42497416 is about 6519.0042184370. The cubic root of 42497416 is about 348.9695296096.

The spelling of 42497416 in words is "forty-two million, four hundred ninety-seven thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 17 26 34 43 52 68 86 104 136 169 172 221 338 344 442 559 676 731 884 1118 1352 1462 1768 1849 2236 2873 2924 3698 4472 5746 5848 7267 7396 9503 11492 14534 14792 19006 22984 24037 29068 31433 38012 48074 58136 62866 76024 96148 123539 125732 192296 247078 251464 312481 408629 494156 624962 817258 988312 1249924 1634516 2499848 3269032 5312177 10624354 21248708 42497416