Search a number
-
+
80407242 = 23731593
BaseRepresentation
bin1001100101011…
…10101011001010
312121022010000000
410302232223022
5131041012432
611551223430
71664310306
oct462565312
9177263000
1080407242
114142a173
1222b17b76
1313873866
14a970d06
1570d457c
hex4caeaca

80407242 has 64 divisors (see below), whose sum is σ = 187038720. Its totient is φ = 25894080.

The previous prime is 80407231. The next prime is 80407267. The reversal of 80407242 is 24270408.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135298 + ... + 135890.

It is an arithmetic number, because the mean of its divisors is an integer number (2922480).

Almost surely, 280407242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80407242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93519360).

80407242 is an abundant number, since it is smaller than the sum of its proper divisors (106631478).

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

80407242 is an equidigital number, since it uses as much as digits as its factorization.

80407242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 80407242 is about 8967.0085312773. The cubic root of 80407242 is about 431.6168477726.

The spelling of 80407242 in words is "eighty million, four hundred seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 593 729 837 1186 1458 1674 1779 2187 2511 3558 4374 5022 5337 7533 10674 15066 16011 18383 22599 32022 36766 45198 48033 55149 67797 96066 110298 135594 144099 165447 288198 330894 432297 496341 864594 992682 1296891 1489023 2593782 2978046 4467069 8934138 13401207 26802414 40203621 80407242