Search a number
-
+
42177730 = 257286077
BaseRepresentation
bin1010000011100…
…1010011000010
32221100211222011
42200321103002
541244141410
64104003134
71021335100
oct240712302
987324864
1042177730
1121898831
12121604aa
138979b4a
14585cc70
153a8218a
hex28394c2

42177730 has 24 divisors (see below), whose sum is σ = 88316028. Its totient is φ = 14460768.

The previous prime is 42177727. The next prime is 42177781. The reversal of 42177730 is 3777124.

42177730 = T460 + T461 + ... + T704.

It can be written as a sum of positive squares in 2 ways, for example, as 41203561 + 974169 = 6419^2 + 987^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42177692 and 42177701.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42549 + ... + 43528.

Almost surely, 242177730 is an apocalyptic number.

42177730 is an abundant number, since it is smaller than the sum of its proper divisors (46138298).

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

42177730 is a wasteful number, since it uses less digits than its factorization.

42177730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86098 (or 86091 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 42177730 is about 6494.4383898841. The cubic root of 42177730 is about 348.0922873660.

The spelling of 42177730 in words is "forty-two million, one hundred seventy-seven thousand, seven hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 86077 172154 430385 602539 860770 1205078 3012695 4217773 6025390 8435546 21088865 42177730