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42535136 = 257227127
BaseRepresentation
bin1010001001000…
…0100011100000
32222001000020102
42202100203200
541342111021
64115401532
71024354100
oct242204340
988030212
1042535136
1122012306
12122b32a8
138a73727
145913200
153b0300b
hex28908e0

42535136 has 36 divisors (see below), whose sum is σ = 97416648. Its totient is φ = 18228672.

The previous prime is 42535133. The next prime is 42535153. The reversal of 42535136 is 63153524.

It is a junction number, because it is equal to n+sod(n) for n = 42535099 and 42535108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42535133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11996 + ... + 15131.

It is an arithmetic number, because the mean of its divisors is an integer number (2706018).

Almost surely, 242535136 is an apocalyptic number.

It is an amenable number.

42535136 is an abundant number, since it is smaller than the sum of its proper divisors (54881512).

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

42535136 is a wasteful number, since it uses less digits than its factorization.

42535136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27151 (or 27136 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 42535136 is about 6521.8966566483. The cubic root of 42535136 is about 349.0727455959.

The spelling of 42535136 in words is "forty-two million, five hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 27127 54254 108508 189889 217016 379778 434032 759556 868064 1329223 1519112 2658446 3038224 5316892 6076448 10633784 21267568 42535136