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42532512 = 2531140277
BaseRepresentation
bin1010001000111…
…1111010100000
32222000212122020
42202033322200
541342020022
64115341440
71024343331
oct242177240
988025566
1042532512
1122010340
12122b1880
138a72489
145912288
153b0235c
hex288fea0

42532512 has 48 divisors (see below), whose sum is σ = 121800672. Its totient is φ = 12888320.

The previous prime is 42532493. The next prime is 42532513. The reversal of 42532512 is 21523524.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42532513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19083 + ... + 21194.

It is an arithmetic number, because the mean of its divisors is an integer number (2537514).

Almost surely, 242532512 is an apocalyptic number.

It is an amenable number.

42532512 is an abundant number, since it is smaller than the sum of its proper divisors (79268160).

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

42532512 is a wasteful number, since it uses less digits than its factorization.

42532512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40301 (or 40293 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 42532512 is about 6521.6954850713. The cubic root of 42532512 is about 349.0655673286.

The spelling of 42532512 in words is "forty-two million, five hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 40277 80554 120831 161108 241662 322216 443047 483324 644432 886094 966648 1288864 1329141 1772188 1933296 2658282 3544376 3866592 5316564 7088752 10633128 14177504 21266256 42532512