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42000448 = 267259227
BaseRepresentation
bin1010000000111…
…0000001000000
32221000211210011
42200032001000
541223003243
64100114304
71016666200
oct240160100
987024704
1042000448
1121787616
1212095994
138917249
145814400
153a4989d
hex280e040

42000448 has 84 divisors (see below), whose sum is σ = 99029520. Its totient is φ = 17617152.

The previous prime is 42000419. The next prime is 42000457. The reversal of 42000448 is 84400024.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184911 + ... + 185137.

Almost surely, 242000448 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 42000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49514760).

42000448 is an abundant number, since it is smaller than the sum of its proper divisors (57029072).

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

42000448 is a wasteful number, since it uses less digits than its factorization.

42000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 42000448 is about 6480.7752622661. The cubic root of 42000448 is about 347.6039004048.

The spelling of 42000448 in words is "forty-two million, four hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 64 98 112 118 196 224 227 236 392 413 448 454 472 784 826 908 944 1568 1589 1652 1816 1888 2891 3136 3178 3304 3632 3776 5782 6356 6608 7264 11123 11564 12712 13216 13393 14528 22246 23128 25424 26432 26786 44492 46256 50848 53572 88984 92512 93751 101696 107144 177968 185024 187502 214288 355936 375004 428576 656257 711872 750008 857152 1312514 1500016 2625028 3000032 5250056 6000064 10500112 21000224 42000448