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42765216 = 2531334267
BaseRepresentation
bin1010001100100…
…0101110100000
32222110200211220
42203020232200
541421441331
64124335040
71026332634
oct243105640
988420756
1042765216
112215a15a
12123a4480
138b24380
145972dc4
153b4b296
hex28c8ba0

42765216 has 48 divisors (see below), whose sum is σ = 120897504. Its totient is φ = 13158144.

The previous prime is 42765161. The next prime is 42765221. The reversal of 42765216 is 61256724.

It is a tau number, because it is divible by the number of its divisors (48).

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, 15886 + ... + 18381.

It is an arithmetic number, because the mean of its divisors is an integer number (2518698).

Almost surely, 242765216 is an apocalyptic number.

It is an amenable number.

42765216 is an abundant number, since it is smaller than the sum of its proper divisors (78132288).

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

42765216 is a wasteful number, since it uses less digits than its factorization.

42765216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34293 (or 34285 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 42765216 is about 6539.5119083919. The cubic root of 42765216 is about 349.7010126902.

The spelling of 42765216 in words is "forty-two million, seven hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 34267 68534 102801 137068 205602 274136 411204 445471 548272 822408 890942 1096544 1336413 1644816 1781884 2672826 3289632 3563768 5345652 7127536 10691304 14255072 21382608 42765216