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40442532 = 22313436029
BaseRepresentation
bin1001101001000…
…1101010100100
32211002200201120
42122101222210
540323130112
64002453540
71000520154
oct232215244
984080646
1040442532
1120913089
12116642b0
1384c00c0
14552a764
15383ce8c
hex2691aa4

40442532 has 48 divisors (see below), whose sum is σ = 104005440. Its totient is φ = 12152448.

The previous prime is 40442491. The next prime is 40442561. The reversal of 40442532 is 23524404.

It is a super-4 number, since 4×404425324 (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3694 + ... + 9722.

It is an arithmetic number, because the mean of its divisors is an integer number (2166780).

Almost surely, 240442532 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 40442532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52002720).

40442532 is an abundant number, since it is smaller than the sum of its proper divisors (63562908).

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

40442532 is a wasteful number, since it uses less digits than its factorization.

40442532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092 (or 6090 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 40442532 is about 6359.4443153471. Note that the first 3 decimals coincide. The cubic root of 40442532 is about 343.2517651663.

Adding to 40442532 its reverse (23524404), we get a palindrome (63966936).

The spelling of 40442532 in words is "forty million, four hundred forty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6029 6708 12058 18087 24116 36174 72348 78377 156754 235131 259247 313508 470262 518494 777741 940524 1036988 1555482 3110964 3370211 6740422 10110633 13480844 20221266 40442532