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42010632 = 2332583481
BaseRepresentation
bin1010000001000…
…0100000001000
32221001100202100
42200100200020
541223320012
64100233400
71020040656
oct240204010
987040670
1042010632
1121794234
121209b860
13891ba81
145817dd6
153a4c8dc
hex2810808

42010632 has 24 divisors (see below), whose sum is σ = 113778990. Its totient is φ = 14003520.

The previous prime is 42010601. The next prime is 42010637. The reversal of 42010632 is 23601024.

It is a happy number.

42010632 is a `hidden beast` number, since 4 + 20 + 10 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27311076 + 14699556 = 5226^2 + 3834^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42010637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291669 + ... + 291812.

Almost surely, 242010632 is an apocalyptic number.

It is an amenable number.

42010632 is an abundant number, since it is smaller than the sum of its proper divisors (71768358).

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

42010632 is a wasteful number, since it uses less digits than its factorization.

42010632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583493 (or 583486 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42010632 is about 6481.5609231110. The cubic root of 42010632 is about 347.6319930579.

Adding to 42010632 its reverse (23601024), we get a palindrome (65611656).

The spelling of 42010632 in words is "forty-two million, ten thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 583481 1166962 1750443 2333924 3500886 4667848 5251329 7001772 10502658 14003544 21005316 42010632