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42011232 = 253479311
BaseRepresentation
bin1010000001000…
…0101001100000
32221001101120120
42200100221200
541223324412
64100240240
71020042504
oct240205140
987041516
1042011232
112179472a
12120a0080
13891c123
145818304
153a4cb8c
hex2810a60

42011232 has 48 divisors (see below), whose sum is σ = 112637952. Its totient is φ = 13704320.

The previous prime is 42011213. The next prime is 42011251. The reversal of 42011232 is 23211024.

It is an interprime number because it is at equal distance from previous prime (42011213) and next prime (42011251).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×420112322 = 3529887228315648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 144 + ... + 9167.

It is an arithmetic number, because the mean of its divisors is an integer number (2346624).

Almost surely, 242011232 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 42011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56318976).

42011232 is an abundant number, since it is smaller than the sum of its proper divisors (70626720).

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

42011232 is a wasteful number, since it uses less digits than its factorization.

42011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9371 (or 9363 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 42011232 is about 6481.6072080928. The cubic root of 42011232 is about 347.6336480215.

Adding to 42011232 its reverse (23211024), we get a palindrome (65222256).

The spelling of 42011232 in words is "forty-two million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 9311 18622 27933 37244 55866 74488 111732 148976 223464 297952 437617 446928 875234 893856 1312851 1750468 2625702 3500936 5251404 7001872 10502808 14003744 21005616 42011232