[go: up one dir, main page]

Search a number
-
+
42774912 = 273312377
BaseRepresentation
bin1010001100101…
…1000110000000
32222111012011000
42203023012000
541422244122
64124452000
71026403125
oct243130600
988435130
1042774912
1122166474
12123aa000
138b288cb
14597674c
153b4e0ac
hex28cb180

42774912 has 64 divisors (see below), whose sum is σ = 126255600. Its totient is φ = 14257152.

The previous prime is 42774889. The next prime is 42774929. The reversal of 42774912 is 21947724.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2733 + ... + 9644.

Almost surely, 242774912 is an apocalyptic number.

It is an amenable number.

42774912 is an abundant number, since it is smaller than the sum of its proper divisors (83480688).

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

42774912 is a wasteful number, since it uses less digits than its factorization.

42774912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12400 (or 12382 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 42774912 is about 6540.2532061075. The cubic root of 42774912 is about 349.7274395008.

The spelling of 42774912 in words is "forty-two million, seven hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 12377 24754 37131 49508 74262 99016 111393 148524 198032 222786 297048 334179 396064 445572 594096 668358 792128 891144 1188192 1336716 1584256 1782288 2376384 2673432 3564576 4752768 5346864 7129152 10693728 14258304 21387456 42774912