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42676416 = 263324697
BaseRepresentation
bin1010001011001…
…1000011000000
32222022012001000
42202303003000
541411121131
64122412000
71025513016
oct242630300
988265030
1042676416
11220a9472
1212361000
138ac2b23
14594c8b6
153b2ece6
hex28b30c0

42676416 has 56 divisors (see below), whose sum is σ = 125465840. Its totient is φ = 14224896.

The previous prime is 42676399. The next prime is 42676427. The reversal of 42676416 is 61467624.

42676416 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 641 + 6 = 666.

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

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, 10621 + ... + 14076.

Almost surely, 242676416 is an apocalyptic number.

It is an amenable number.

42676416 is an abundant number, since it is smaller than the sum of its proper divisors (82789424).

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

42676416 is a wasteful number, since it uses less digits than its factorization.

42676416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24718 (or 24702 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42676416 is about 6532.7188826705. The cubic root of 42676416 is about 349.4587989524.

The spelling of 42676416 in words is "forty-two million, six hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 24697 49394 74091 98788 148182 197576 222273 296364 395152 444546 592728 666819 790304 889092 1185456 1333638 1580608 1778184 2370912 2667276 3556368 4741824 5334552 7112736 10669104 14225472 21338208 42676416