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42737744 = 247412227
BaseRepresentation
bin1010001100001…
…0000001010000
32222102022011102
42203002001100
541420101434
64124003532
71026156560
oct243020120
988368142
1042737744
1122140555
12123905a8
138b14a0a
145966da0
153b4307e
hex28c2050

42737744 has 60 divisors (see below), whose sum is σ = 97425312. Its totient is φ = 17790720.

The previous prime is 42737731. The next prime is 42737753. The reversal of 42737744 is 44773724.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42737698 and 42737707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188159 + ... + 188385.

Almost surely, 242737744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42737744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48712656).

42737744 is an abundant number, since it is smaller than the sum of its proper divisors (54687568).

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

42737744 is a wasteful number, since it uses less digits than its factorization.

42737744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 277 counting only the distinct ones).

The product of its digits is 131712, while the sum is 38.

The square root of 42737744 is about 6537.4111083823. The cubic root of 42737744 is about 349.6261150280.

The spelling of 42737744 in words is "forty-two million, seven hundred thirty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 227 287 328 454 574 656 908 1148 1589 1681 1816 2296 3178 3362 3632 4592 6356 6724 9307 11767 12712 13448 18614 23534 25424 26896 37228 47068 65149 74456 94136 130298 148912 188272 260596 381587 521192 763174 1042384 1526348 2671109 3052696 5342218 6105392 10684436 21368872 42737744