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42770616 = 23372311069
BaseRepresentation
bin1010001100101…
…0000010111000
32222110222020220
42203022002320
541422124431
64124420040
71026354450
oct243120270
988428226
1042770616
1122163219
12123a7620
138b26975
145974d60
153b4cb96
hex28ca0b8

42770616 has 64 divisors (see below), whose sum is σ = 127526400. Its totient is φ = 11687808.

The previous prime is 42770603. The next prime is 42770633. The reversal of 42770616 is 61607724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1671 + ... + 9398.

It is an arithmetic number, because the mean of its divisors is an integer number (1992600).

Almost surely, 242770616 is an apocalyptic number.

42770616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42770616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63763200).

42770616 is an abundant number, since it is smaller than the sum of its proper divisors (84755784).

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

42770616 is a wasteful number, since it uses less digits than its factorization.

42770616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11108 (or 11104 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 42770616 is about 6539.9247702095. The cubic root of 42770616 is about 349.7157310849.

The spelling of 42770616 in words is "forty-two million, seven hundred seventy thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 11069 22138 33207 44276 66414 77483 88552 132828 154966 232449 254587 265656 309932 464898 509174 619864 763761 929796 1018348 1527522 1782109 1859592 2036696 3055044 3564218 5346327 6110088 7128436 10692654 14256872 21385308 42770616