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242498368 = 2671931919
BaseRepresentation
bin11100111010000…
…11101101000000
3121220022012020001
432131003231000
5444034421433
640021325344
76003126220
oct1635035500
9556265201
10242498368
1111497a682
1269266854
133b317078
14242c6080
151645157d
hexe743b40

242498368 has 112 divisors (see below), whose sum is σ = 598220800. Its totient is φ = 95178240.

The previous prime is 242498341. The next prime is 242498369. The reversal of 242498368 is 863894242.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242498369) 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, 263413 + ... + 264331.

Almost surely, 2242498368 is an apocalyptic number.

242498368 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 242498368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299110400).

242498368 is an abundant number, since it is smaller than the sum of its proper divisors (355722432).

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

242498368 is a wasteful number, since it uses less digits than its factorization.

242498368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 978 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The square root of 242498368 is about 15572.3591019473. The cubic root of 242498368 is about 623.5954533222.

The spelling of 242498368 in words is "two hundred forty-two million, four hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 112 124 133 152 217 224 248 266 304 434 448 496 532 589 608 868 919 992 1064 1178 1216 1736 1838 1984 2128 2356 3472 3676 4123 4256 4712 6433 6944 7352 8246 8512 9424 12866 13888 14704 16492 17461 18848 25732 28489 29408 32984 34922 37696 51464 56978 58816 65968 69844 102928 113956 122227 131936 139688 199423 205856 227912 244454 263872 279376 398846 411712 455824 488908 541291 558752 797692 911648 977816 1082582 1117504 1595384 1823296 1955632 2165164 3190768 3789037 3911264 4330328 6381536 7578074 7822528 8660656 12763072 15156148 17321312 30312296 34642624 60624592 121249184 242498368