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42010644 = 223131971367
BaseRepresentation
bin1010000001000…
…0100000010100
32221001100202210
42200100200110
541223320034
64100233420
71020041004
oct240204024
987040683
1042010644
1121794245
121209b870
13891ba90
145818004
153a4c8e9
hex2810814

42010644 has 48 divisors (see below), whose sum is σ = 106178688. Its totient is φ = 12851328.

The previous prime is 42010637. The next prime is 42010649. The reversal of 42010644 is 44601024.

It is a self number, because there is not a number n which added to its sum of digits gives 42010644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42010649) 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, 30049 + ... + 31415.

It is an arithmetic number, because the mean of its divisors is an integer number (2212056).

Almost surely, 242010644 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 42010644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53089344).

42010644 is an abundant number, since it is smaller than the sum of its proper divisors (64168044).

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

42010644 is a wasteful number, since it uses less digits than its factorization.

42010644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42010644 is about 6481.5618488139. The cubic root of 42010644 is about 347.6320261573.

Adding to 42010644 its reverse (44601024), we get a palindrome (86611668).

The spelling of 42010644 in words is "forty-two million, ten thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 197 394 591 788 1182 1367 2364 2561 2734 4101 5122 5468 7683 8202 10244 15366 16404 17771 30732 35542 53313 71084 106626 213252 269299 538598 807897 1077196 1615794 3231588 3500887 7001774 10502661 14003548 21005322 42010644