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42074144 = 257226833
BaseRepresentation
bin1010000010000…
…0000000100000
32221011120212122
42200200000200
541232333034
64101443412
71020424100
oct240400040
987146778
1042074144
1121827a22
1212110568
138941958
145833200
153a6162e
hex2820020

42074144 has 36 divisors (see below), whose sum is σ = 96360894. Its totient is φ = 18031104.

The previous prime is 42074117. The next prime is 42074171. The reversal of 42074144 is 44147024.

It is an interprime number because it is at equal distance from previous prime (42074117) and next prime (42074171).

It can be written as a sum of positive squares in only one way, i.e., 41113744 + 960400 = 6412^2 + 980^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11849 + ... + 14984.

Almost surely, 242074144 is an apocalyptic number.

It is an amenable number.

42074144 is an abundant number, since it is smaller than the sum of its proper divisors (54286750).

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

42074144 is a wasteful number, since it uses less digits than its factorization.

42074144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26857 (or 26842 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 42074144 is about 6486.4585098496. The cubic root of 42074144 is about 347.8070891001.

The spelling of 42074144 in words is "forty-two million, seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 26833 53666 107332 187831 214664 375662 429328 751324 858656 1314817 1502648 2629634 3005296 5259268 6010592 10518536 21037072 42074144