Search a number
-
+
42915720 = 2335438317
BaseRepresentation
bin1010001110110…
…1011110001000
32222202100022010
42203231132020
541441300340
64131455520
71030530501
oct243553610
988670263
1042915720
1122252241
12124575a0
138b77a23
1459b1ba8
153b7ab80
hex28ed788

42915720 has 64 divisors (see below), whose sum is σ = 131757120. Its totient is φ = 11176704.

The previous prime is 42915703. The next prime is 42915727. The reversal of 42915720 is 2751924.

42915720 = T264 + T265 + ... + T650.

42915720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42915727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002 + ... + 9318.

It is an arithmetic number, because the mean of its divisors is an integer number (2058705).

Almost surely, 242915720 is an apocalyptic number.

42915720 is a gapful number since it is divisible by the number (40) 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 42915720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65878560).

42915720 is an abundant number, since it is smaller than the sum of its proper divisors (88841400).

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

42915720 is a wasteful number, since it uses less digits than its factorization.

42915720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 42915720 is about 6551.0090825765. The cubic root of 42915720 is about 350.1107676617.

It can be divided in two parts, 4291 and 5720, that added together give a triangular number (10011 = T141).

The spelling of 42915720 in words is "forty-two million, nine hundred fifteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 8317 16634 24951 33268 41585 49902 66536 83170 99804 124755 166340 199608 249510 332680 357631 499020 715262 998040 1072893 1430524 1788155 2145786 2861048 3576310 4291572 5364465 7152620 8583144 10728930 14305240 21457860 42915720