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42460446 = 2376779191
BaseRepresentation
bin1010000111111…
…0010100011110
32221220012210010
42201332110132
541332213241
64114024050
71023623250
oct241762436
987805703
1042460446
1121a71186
1212278026
138a48732
1458d3cd0
153adad16
hex287e51e

42460446 has 64 divisors (see below), whose sum is σ = 100270080. Its totient is φ = 11737440.

The previous prime is 42460433. The next prime is 42460477. The reversal of 42460446 is 64406424.

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, 222211 + ... + 222401.

It is an arithmetic number, because the mean of its divisors is an integer number (1566720).

Almost surely, 242460446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42460446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50135040).

42460446 is an abundant number, since it is smaller than the sum of its proper divisors (57809634).

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

42460446 is a wasteful number, since it uses less digits than its factorization.

42460446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349.

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 42460446 is about 6516.1680457152. The cubic root of 42460446 is about 348.8683066204.

The spelling of 42460446 in words is "forty-two million, four hundred sixty thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 67 79 134 158 191 201 237 382 402 469 474 553 573 938 1106 1146 1337 1407 1659 2674 2814 3318 4011 5293 8022 10586 12797 15089 15879 25594 30178 31758 37051 38391 45267 74102 76782 89579 90534 105623 111153 179158 211246 222306 268737 316869 537474 633738 1010963 2021926 3032889 6065778 7076741 14153482 21230223 42460446