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42537336 = 23341139311
BaseRepresentation
bin1010001001000…
…1000101111000
32222001010020220
42202101011320
541342143321
64115420040
71024363362
oct242210570
988033226
1042537336
1122013a26
12122b4620
138a7472a
145913d32
153b039c6
hex2891178

42537336 has 64 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 13689600.

The previous prime is 42537331. The next prime is 42537337. The reversal of 42537336 is 63373524.

It is a junction number, because it is equal to n+sod(n) for n = 42537297 and 42537306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42537331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136621 + ... + 136931.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 242537336 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 42537336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

42537336 is an abundant number, since it is smaller than the sum of its proper divisors (67536264).

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

42537336 is a wasteful number, since it uses less digits than its factorization.

42537336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its digits is 45360, while the sum is 33.

The square root of 42537336 is about 6522.0653170602. The cubic root of 42537336 is about 349.0787637327.

The spelling of 42537336 in words is "forty-two million, five hundred thirty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 139 164 246 278 311 328 417 492 556 622 834 933 984 1112 1244 1668 1866 2488 3336 3732 5699 7464 11398 12751 17097 22796 25502 34194 38253 43229 45592 51004 68388 76506 86458 102008 129687 136776 153012 172916 259374 306024 345832 518748 1037496 1772389 3544778 5317167 7089556 10634334 14179112 21268668 42537336