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242483808 = 2537734943
BaseRepresentation
bin11100111010000…
…00001001100000
3121220021110020210
432131000021200
5444033440213
640021134120
76003035610
oct1635001140
9556243223
10242483808
1111496a746
126925a340
133b310558
14242c0a40
151644c0c3
hexe740260

242483808 has 96 divisors (see below), whose sum is σ = 737565696. Its totient is φ = 68318208.

The previous prime is 242483807. The next prime is 242483911. The reversal of 242483808 is 808384242.

242483808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242483807) 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, 46585 + ... + 51527.

It is an arithmetic number, because the mean of its divisors is an integer number (7682976).

Almost surely, 2242483808 is an apocalyptic number.

242483808 is a gapful number since it is divisible by the number (28) 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 242483808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368782848).

242483808 is an abundant number, since it is smaller than the sum of its proper divisors (495081888).

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

242483808 is a wasteful number, since it uses less digits than its factorization.

242483808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 242483808 is about 15571.8915999309. The cubic root of 242483808 is about 623.5829725076.

The spelling of 242483808 in words is "two hundred forty-two million, four hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1533 1752 2044 2336 3066 3504 4088 4943 6132 7008 8176 9886 12264 14829 16352 19772 24528 29658 34601 39544 49056 59316 69202 79088 103803 118632 138404 158176 207606 237264 276808 360839 415212 474528 553616 721678 830424 1082517 1107232 1443356 1660848 2165034 2525873 2886712 3321696 4330068 5051746 5773424 7577619 8660136 10103492 11546848 15155238 17320272 20206984 30310476 34640544 40413968 60620952 80827936 121241904 242483808