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42287152 = 2437611171
BaseRepresentation
bin1010000101010…
…0000000110000
32221120102001211
42201110000300
541311142102
64110205504
71022302105
oct241240060
987512054
1042287152
1121962a66
12121b3894
1389b78ab
14588aaac
153aa47d7
hex2854030

42287152 has 40 divisors (see below), whose sum is σ = 85598192. Its totient is φ = 20217600.

The previous prime is 42287137. The next prime is 42287153. The reversal of 42287152 is 25178224.

It is a happy number.

It is a super-2 number, since 2×422871522 = 3576406448542208, which contains 22 as substring.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (42287153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35527 + ... + 36697.

Almost surely, 242287152 is an apocalyptic number.

It is an amenable number.

42287152 is an abundant number, since it is smaller than the sum of its proper divisors (43311040).

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

42287152 is a wasteful number, since it uses less digits than its factorization.

42287152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1271 counting only the distinct ones).

The product of its digits is 8960, while the sum is 31.

The square root of 42287152 is about 6502.8572181773. The cubic root of 42287152 is about 348.3930469019.

The spelling of 42287152 in words is "forty-two million, two hundred eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 37 61 74 122 148 244 296 488 592 976 1171 2257 2342 4514 4684 9028 9368 18056 18736 36112 43327 71431 86654 142862 173308 285724 346616 571448 693232 1142896 2642947 5285894 10571788 21143576 42287152