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42707742 = 2371197953
BaseRepresentation
bin1010001011101…
…0101100011110
32222100210000020
42202322230132
541413121432
64123213010
71026003240
oct242725436
988323006
1042707742
112211aa60
1212377166
138b0416c
14595a090
153b3922c
hex28bab1e

42707742 has 64 divisors (see below), whose sum is σ = 107702784. Its totient is φ = 10967040.

The previous prime is 42707737. The next prime is 42707759. The reversal of 42707742 is 24770724.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44338 + ... + 45290.

It is an arithmetic number, because the mean of its divisors is an integer number (1682856).

Almost surely, 242707742 is an apocalyptic number.

42707742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42707742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53851392).

42707742 is an abundant number, since it is smaller than the sum of its proper divisors (64995042).

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

42707742 is a wasteful number, since it uses less digits than its factorization.

42707742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073.

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 42707742 is about 6535.1160662991. The cubic root of 42707742 is about 349.5442830826.

The spelling of 42707742 in words is "forty-two million, seven hundred seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 97 154 194 231 291 462 582 679 953 1067 1358 1906 2037 2134 2859 3201 4074 5718 6402 6671 7469 10483 13342 14938 20013 20966 22407 31449 40026 44814 62898 73381 92441 146762 184882 220143 277323 440286 554646 647087 1016851 1294174 1941261 2033702 3050553 3882522 6101106 7117957 14235914 21353871 42707742