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42464064 = 263673301
BaseRepresentation
bin1010000111111…
…1001101000000
32221220101202010
42201333031000
541332322224
64114052520
71023636636
oct241771500
987811663
1042464064
1121a73975
121227a140
138a4a286
1458d5356
153adbe29
hex287f340

42464064 has 56 divisors (see below), whose sum is σ = 114064288. Its totient is φ = 13939200.

The previous prime is 42464041. The next prime is 42464117. The reversal of 42464064 is 46046424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11214 + ... + 14514.

Almost surely, 242464064 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 42464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57032144).

42464064 is an abundant number, since it is smaller than the sum of its proper divisors (71600224).

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

42464064 is a wasteful number, since it uses less digits than its factorization.

42464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3373 counting only the distinct ones).

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

The square root of 42464064 is about 6516.4456569513. The cubic root of 42464064 is about 348.8782152122.

The spelling of 42464064 in words is "forty-two million, four hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 3301 4288 6432 6602 9903 12864 13204 19806 26408 39612 52816 79224 105632 158448 211264 221167 316896 442334 633792 663501 884668 1327002 1769336 2654004 3538672 5308008 7077344 10616016 14154688 21232032 42464064