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42737590 = 2572937569
BaseRepresentation
bin1010001100000…
…1111110110110
32222102021221201
42203001332312
541420100330
64124003114
71026156250
oct243017666
988367851
1042737590
1122140425
121239049a
138b1491c
145966cd0
153b42eca
hex28c1fb6

42737590 has 64 divisors (see below), whose sum is σ = 93571200. Its totient is φ = 13741056.

The previous prime is 42737573. The next prime is 42737599. The reversal of 42737590 is 9573724.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42737599) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74826 + ... + 75394.

It is an arithmetic number, because the mean of its divisors is an integer number (1462050).

Almost surely, 242737590 is an apocalyptic number.

42737590 is an abundant number, since it is smaller than the sum of its proper divisors (50833610).

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

42737590 is a wasteful number, since it uses less digits than its factorization.

42737590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649.

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 42737590 is about 6537.3993300088. The cubic root of 42737590 is about 349.6256950832.

The spelling of 42737590 in words is "forty-two million, seven hundred thirty-seven thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 29 35 37 58 70 74 145 185 203 259 290 370 406 518 569 1015 1073 1138 1295 2030 2146 2590 2845 3983 5365 5690 7511 7966 10730 15022 16501 19915 21053 33002 37555 39830 42106 75110 82505 105265 115507 147371 165010 210530 231014 294742 577535 610537 736855 1155070 1221074 1473710 3052685 4273759 6105370 8547518 21368795 42737590