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42556770 = 23251941607
BaseRepresentation
bin1010001001010…
…1110101100010
32222002002220200
42202111311202
541343304040
64120050030
71024504134
oct242256542
988062820
1042556770
1122027593
1212303916
138a80529
14591b054
153b09630
hex2895d62

42556770 has 96 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 10471680.

The previous prime is 42556757. The next prime is 42556781. The reversal of 42556770 is 7765524.

42556770 is a `hidden beast` number, since 4 + 25 + 567 + 70 = 666.

It is a super-2 number, since 2×425567702 = 3622157345665800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69807 + ... + 70413.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 242556770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42556770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

42556770 is an abundant number, since it is smaller than the sum of its proper divisors (76951710).

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

42556770 is a wasteful number, since it uses less digits than its factorization.

42556770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 42556770 is about 6523.5550124146. Note that the first 3 decimals coincide. The cubic root of 42556770 is about 349.1319167543.

It can be divided in two parts, 4255 and 6770, that added together give a square (11025 = 1052).

The spelling of 42556770 in words is "forty-two million, five hundred fifty-six thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 41 45 57 82 90 95 114 123 171 190 205 246 285 342 369 410 570 607 615 738 779 855 1214 1230 1558 1710 1821 1845 2337 3035 3642 3690 3895 4674 5463 6070 7011 7790 9105 10926 11533 11685 14022 18210 23066 23370 24887 27315 34599 35055 49774 54630 57665 69198 70110 74661 103797 115330 124435 149322 172995 207594 223983 248870 345990 373305 447966 472853 518985 746610 945706 1037970 1119915 1418559 2239830 2364265 2837118 4255677 4728530 7092795 8511354 14185590 21278385 42556770