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42916032 = 263274507
BaseRepresentation
bin1010001110110…
…1100011000000
32222202100201200
42203231203000
541441303112
64131501200
71030531425
oct243554300
988670650
1042916032
11222524a5
1212457800
138b77c03
1459b1d4c
153b7acdc
hex28ed8c0

42916032 has 42 divisors (see below), whose sum is σ = 123012708. Its totient is φ = 14305152.

The previous prime is 42916031. The next prime is 42916033. The reversal of 42916032 is 23061924.

It is an interprime number because it is at equal distance from previous prime (42916031) and next prime (42916033).

It is a junction number, because it is equal to n+sod(n) for n = 42915987 and 42916005.

It is not an unprimeable number, because it can be changed into a prime (42916031) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 36678 + ... + 37829.

It is an arithmetic number, because the mean of its divisors is an integer number (2928874).

Almost surely, 242916032 is an apocalyptic number.

It is an amenable number.

42916032 is an abundant number, since it is smaller than the sum of its proper divisors (80096676).

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

42916032 is a wasteful number, since it uses less digits than its factorization.

42916032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74525 (or 74512 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42916032 is about 6551.0328956585. The cubic root of 42916032 is about 350.1116161022. Note that the first 3 decimals are identical.

Adding to 42916032 its reverse (23061924), we get a palindrome (65977956).

It can be divided in two parts, 429 and 16032, that added together give a palindrome (16461).

The spelling of 42916032 in words is "forty-two million, nine hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 74507 149014 223521 298028 447042 596056 670563 894084 1192112 1341126 1788168 2384224 2682252 3576336 4768448 5364504 7152672 10729008 14305344 21458016 42916032