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42370272 = 2532721017
BaseRepresentation
bin1010000110100…
…0010011100000
32221201122002100
42201220103200
541321322042
64112050400
71023066330
oct241502340
987648070
1042370272
1121a0a45a
1212233a00
138a16689
1458ad0c0
153abe24c
hex28684e0

42370272 has 72 divisors (see below), whose sum is σ = 137709936. Its totient is φ = 12105216.

The previous prime is 42370271. The next prime is 42370297. The reversal of 42370272 is 27207324.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42370271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8493 + ... + 12524.

It is an arithmetic number, because the mean of its divisors is an integer number (1912638).

Almost surely, 242370272 is an apocalyptic number.

42370272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42370272 is an abundant number, since it is smaller than the sum of its proper divisors (95339664).

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

42370272 is a wasteful number, since it uses less digits than its factorization.

42370272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21040 (or 21029 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 42370272 is about 6509.2451175232. The cubic root of 42370272 is about 348.6211656546.

Adding to 42370272 its reverse (27207324), we get a palindrome (69577596).

The spelling of 42370272 in words is "forty-two million, three hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 21017 42034 63051 84068 126102 147119 168136 189153 252204 294238 336272 378306 441357 504408 588476 672544 756612 882714 1008816 1176952 1324071 1513224 1765428 2017632 2353904 2648142 3026448 3530856 4707808 5296284 6052896 7061712 10592568 14123424 21185136 42370272