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242542832 = 24761131271
BaseRepresentation
bin11100111010011…
…10100011110000
3121220101110012212
432131032203300
5444042332312
640022311252
76003402650
oct1635164360
9556343185
10242542832
11114a00024
1269288528
133b33138c
14242d8360
151645e822
hexe74e8f0

242542832 has 80 divisors (see below), whose sum is σ = 552059904. Its totient is φ = 101088000.

The previous prime is 242542813. The next prime is 242542837. The reversal of 242542832 is 238245242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242542837) 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, 894857 + ... + 895127.

Almost surely, 2242542832 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 242542832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276029952).

242542832 is an abundant number, since it is smaller than the sum of its proper divisors (309517072).

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

242542832 is a wasteful number, since it uses less digits than its factorization.

242542832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 242542832 is about 15573.7866943143. The cubic root of 242542832 is about 623.6335647179.

The spelling of 242542832 in words is "two hundred forty-two million, five hundred forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 131 244 262 271 427 488 524 542 854 917 976 1048 1084 1708 1834 1897 2096 2168 3416 3668 3794 4336 6832 7336 7588 7991 14672 15176 15982 16531 30352 31964 33062 35501 55937 63928 66124 71002 111874 115717 127856 132248 142004 223748 231434 248507 264496 284008 447496 462868 497014 568016 894992 925736 994028 1851472 1988056 2165561 3976112 4331122 8662244 15158927 17324488 30317854 34648976 60635708 121271416 242542832