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42540416 = 274359131
BaseRepresentation
bin1010001001000…
…1110110000000
32222001021110222
42202101312000
541342243131
64115442212
71024405352
oct242216600
988037428
1042540416
1122016276
12122b6368
138a75c59
1459150d2
153b0487b
hex2891d80

42540416 has 64 divisors (see below), whose sum is σ = 88862400. Its totient is φ = 20267520.

The previous prime is 42540413. The next prime is 42540437. The reversal of 42540416 is 61404524.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42540413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324671 + ... + 324801.

It is an arithmetic number, because the mean of its divisors is an integer number (1388475).

Almost surely, 242540416 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 42540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44431200).

42540416 is an abundant number, since it is smaller than the sum of its proper divisors (46321984).

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

42540416 is a wasteful number, since it uses less digits than its factorization.

42540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 42540416 is about 6522.3014343098. The cubic root of 42540416 is about 349.0871887756.

The spelling of 42540416 in words is "forty-two million, five hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 43 59 64 86 118 128 131 172 236 262 344 472 524 688 944 1048 1376 1888 2096 2537 2752 3776 4192 5074 5504 5633 7552 7729 8384 10148 11266 15458 16768 20296 22532 30916 40592 45064 61832 81184 90128 123664 162368 180256 247328 324736 332347 360512 494656 664694 721024 989312 1329388 2658776 5317552 10635104 21270208 42540416