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42910272 = 2632234179
BaseRepresentation
bin1010001110110…
…0001001000000
32222202001211100
42203230021000
541441112042
64131414400
71030505556
oct243541100
988661740
1042910272
1122249139
1212454400
138b753c2
1459adbd6
153b7924c
hex28ec240

42910272 has 168 divisors, whose sum is σ = 133136640. Its totient is φ = 13178880.

The previous prime is 42910271. The next prime is 42910277. The reversal of 42910272 is 27201924.

It is a super-2 number, since 2×429102722 = 3682582886227968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42910271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543129 + ... + 543207.

It is an arithmetic number, because the mean of its divisors is an integer number (792480).

Almost surely, 242910272 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 42910272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

42910272 is an abundant number, since it is smaller than the sum of its proper divisors (90226368).

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

42910272 is a wasteful number, since it uses less digits than its factorization.

42910272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42910272 is about 6550.5932555762. The cubic root of 42910272 is about 350.0959519238.

It can be divided in two parts, 429 and 10272, that added together give a palindrome (10701).

The spelling of 42910272 in words is "forty-two million, nine hundred ten thousand, two hundred seventy-two".