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42164704 = 252359971
BaseRepresentation
bin1010000011011…
…0000111100000
32221100012002201
42200312013200
541243232304
64103422544
71021252111
oct240660740
987305081
1042164704
1121889a6a
1212154a54
138973c3a
145858208
153a7d3a4
hex28361e0

42164704 has 48 divisors (see below), whose sum is σ = 88179840. Its totient is φ = 19803520.

The previous prime is 42164693. The next prime is 42164711. The reversal of 42164704 is 40746124.

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, 42939 + ... + 43909.

It is an arithmetic number, because the mean of its divisors is an integer number (1837080).

Almost surely, 242164704 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 42164704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44089920).

42164704 is an abundant number, since it is smaller than the sum of its proper divisors (46015136).

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

42164704 is a wasteful number, since it uses less digits than its factorization.

42164704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 42164704 is about 6493.4354543647. The cubic root of 42164704 is about 348.0564492037.

The spelling of 42164704 in words is "forty-two million, one hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 23 32 46 59 92 118 184 236 368 472 736 944 971 1357 1888 1942 2714 3884 5428 7768 10856 15536 21712 22333 31072 43424 44666 57289 89332 114578 178664 229156 357328 458312 714656 916624 1317647 1833248 2635294 5270588 10541176 21082352 42164704