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42274144 = 2511120097
BaseRepresentation
bin1010000101000…
…0110101100000
32221112202020001
42201100311200
541310233034
64110025344
71022216143
oct241206540
987482201
1042274144
1121954210
12121a8254
1389b19b3
14588605a
153aa0a14
hex2850d60

42274144 has 24 divisors (see below), whose sum is σ = 90794088. Its totient is φ = 19215360.

The previous prime is 42274139. The next prime is 42274147. The reversal of 42274144 is 44147224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42274147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59697 + ... + 60400.

It is an arithmetic number, because the mean of its divisors is an integer number (3783087).

Almost surely, 242274144 is an apocalyptic number.

42274144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42274144 is an abundant number, since it is smaller than the sum of its proper divisors (48519944).

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

42274144 is a wasteful number, since it uses less digits than its factorization.

42274144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120118 (or 120110 counting only the distinct ones).

The product of its digits is 7168, while the sum is 28.

The square root of 42274144 is about 6501.8569655138. The cubic root of 42274144 is about 348.3573200416.

Subtracting 42274144 from its reverse (44147224), we obtain a triangular number (1873080 = T1935).

The spelling of 42274144 in words is "forty-two million, two hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 120097 240194 480388 960776 1321067 1921552 2642134 3843104 5284268 10568536 21137072 42274144