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242791032 = 233117112953
BaseRepresentation
bin11100111100010…
…11001001111000
3121220212001200110
432132023021320
5444123303112
640031504320
76005455401
oct1636131170
9556761613
10242791032
1111505a550
12693880a0
133b3ba343
14243609a8
15164ad13c
hexe78b278

242791032 has 64 divisors (see below), whose sum is σ = 671535360. Its totient is φ = 72531200.

The previous prime is 242791007. The next prime is 242791033. The reversal of 242791032 is 230197242.

242791032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242791033) 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, 12268 + ... + 25220.

It is an arithmetic number, because the mean of its divisors is an integer number (10492740).

Almost surely, 2242791032 is an apocalyptic number.

242791032 is a gapful number since it is divisible by the number (22) 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 242791032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335767680).

242791032 is an abundant number, since it is smaller than the sum of its proper divisors (428744328).

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

242791032 is a wasteful number, since it uses less digits than its factorization.

242791032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13044 (or 13040 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 242791032 is about 15581.7531747875. The cubic root of 242791032 is about 623.8462186792.

The spelling of 242791032 in words is "two hundred forty-two million, seven hundred ninety-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1562 1704 2343 3124 4686 6248 9372 12953 18744 25906 38859 51812 77718 103624 142483 155436 284966 310872 427449 569932 854898 919663 1139864 1709796 1839326 2758989 3419592 3678652 5517978 7357304 10116293 11035956 20232586 22071912 30348879 40465172 60697758 80930344 121395516 242791032