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42537216 = 28397571
BaseRepresentation
bin1010001001000…
…1000100000000
32222001010002110
42202101010000
541342142331
64115415320
71024363131
oct242210400
988033073
1042537216
1122013927
12122b4540
138a74667
145913c88
153b03946
hex2891100

42537216 has 72 divisors (see below), whose sum is σ = 114578464. Its totient is φ = 14008320.

The previous prime is 42537211. The next prime is 42537233. The reversal of 42537216 is 61273524.

It is not an unprimeable number, because it can be changed into a prime (42537211) 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, 74211 + ... + 74781.

Almost surely, 242537216 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 42537216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57289232).

42537216 is an abundant number, since it is smaller than the sum of its proper divisors (72041248).

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

42537216 is an equidigital number, since it uses as much as digits as its factorization.

42537216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 673 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 42537216 is about 6522.0561175139. The cubic root of 42537216 is about 349.0784354760.

The spelling of 42537216 in words is "forty-two million, five hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 384 388 571 582 768 776 1142 1164 1552 1713 2284 2328 3104 3426 4568 4656 6208 6852 9136 9312 12416 13704 18272 18624 24832 27408 36544 37248 54816 55387 73088 74496 109632 110774 146176 166161 219264 221548 332322 438528 443096 664644 886192 1329288 1772384 2658576 3544768 5317152 7089536 10634304 14179072 21268608 42537216