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42025144 = 2372472281
BaseRepresentation
bin1010000001010…
…0000010111000
32221002002122211
42200110002320
541224301034
64100424504
71020131200
oct240240270
987062584
1042025144
11217a4127
12120a8134
138925565
14581d400
153a51d64
hex28140b8

42025144 has 48 divisors (see below), whose sum is σ = 93653280. Its totient is φ = 17619840.

The previous prime is 42025129. The next prime is 42025187. The reversal of 42025144 is 44152024.

It is a happy number.

It is a super-2 number, since 2×420251442 = 3532225456441472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17284 + ... + 19564.

It is an arithmetic number, because the mean of its divisors is an integer number (1951110).

Almost surely, 242025144 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 42025144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46826640).

42025144 is an abundant number, since it is smaller than the sum of its proper divisors (51628136).

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

42025144 is a wasteful number, since it uses less digits than its factorization.

42025144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 42025144 is about 6482.6803098718. The cubic root of 42025144 is about 347.6720166937.

Adding to 42025144 its reverse (44152024), we get a palindrome (86177168).

It can be divided in two parts, 42025 and 144, that multiplied together give a square (6051600 = 24602).

The spelling of 42025144 in words is "forty-two million, twenty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 376 392 658 1316 2281 2303 2632 4562 4606 9124 9212 15967 18248 18424 31934 63868 107207 111769 127736 214414 223538 428828 447076 750449 857656 894152 1500898 3001796 5253143 6003592 10506286 21012572 42025144