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42114440 = 2351761933
BaseRepresentation
bin1010000010100…
…1110110001000
32221020122011002
42200221312020
541240130230
64102354132
71020652424
oct240516610
987218132
1042114440
1121855225
121212b948
1389570b4
145843b84
153a6d545
hex2829d88

42114440 has 32 divisors (see below), whose sum is σ = 100333080. Its totient is φ = 15854592.

The previous prime is 42114433. The next prime is 42114481. The reversal of 42114440 is 4441124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37283236 + 4831204 = 6106^2 + 2198^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30287 + ... + 31646.

Almost surely, 242114440 is an apocalyptic number.

42114440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42114440 is an abundant number, since it is smaller than the sum of its proper divisors (58218640).

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

42114440 is a wasteful number, since it uses less digits than its factorization.

42114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61961 (or 61957 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 42114440 is about 6489.5639298800. The cubic root of 42114440 is about 347.9180896751.

Adding to 42114440 its reverse (4441124), we get a palindrome (46555564).

The spelling of 42114440 in words is "forty-two million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 61933 123866 247732 309665 495464 619330 1052861 1238660 2105722 2477320 4211444 5264305 8422888 10528610 21057220 42114440