Search a number
-
+
42733660 = 225191071051
BaseRepresentation
bin1010001100000…
…1000001011100
32222102002120011
42203001001130
541414434120
64123533004
71026141634
oct243010134
988362504
1042733660
1122138482
121238a164
138b12bb8
1459656c4
153b41c5a
hex28c105c

42733660 has 48 divisors (see below), whose sum is σ = 95437440. Its totient is φ = 16027200.

The previous prime is 42733651. The next prime is 42733667. The reversal of 42733660 is 6633724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42733667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40135 + ... + 41185.

It is an arithmetic number, because the mean of its divisors is an integer number (1988280).

Almost surely, 242733660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42733660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47718720).

42733660 is an abundant number, since it is smaller than the sum of its proper divisors (52703780).

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

42733660 is a wasteful number, since it uses less digits than its factorization.

42733660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The square root of 42733660 is about 6537.0987448562. The cubic root of 42733660 is about 349.6149779674.

The spelling of 42733660 in words is "forty-two million, seven hundred thirty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 107 190 214 380 428 535 1051 1070 2033 2102 2140 4066 4204 5255 8132 10165 10510 19969 20330 21020 39938 40660 79876 99845 112457 199690 224914 399380 449828 562285 1124570 2136683 2249140 4273366 8546732 10683415 21366830 42733660