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42112240 = 245737211
BaseRepresentation
bin1010000010100…
…1010011110000
32221020112010121
42200221103300
541240042430
64102340024
71020643132
oct240512360
987215117
1042112240
1121853605
121212a614
1389560b1
145843052
153a6ca7a
hex28294f0

42112240 has 40 divisors (see below), whose sum is σ = 99265968. Its totient is φ = 16611840.

The previous prime is 42112211. The next prime is 42112261. The reversal of 42112240 is 4221124.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2235 + ... + 9445.

Almost surely, 242112240 is an apocalyptic number.

42112240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49632984).

42112240 is an abundant number, since it is smaller than the sum of its proper divisors (57153728).

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

42112240 is a wasteful number, since it uses less digits than its factorization.

42112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297 (or 7291 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 42112240 is about 6489.3944247518. The cubic root of 42112240 is about 347.9120313166.

Adding to 42112240 its reverse (4221124), we get a palindrome (46333364).

The spelling of 42112240 in words is "forty-two million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 7211 14422 28844 36055 57688 72110 115376 144220 288440 526403 576880 1052806 2105612 2632015 4211224 5264030 8422448 10528060 21056120 42112240