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242800992 = 25327294153
BaseRepresentation
bin11100111100011…
…01100101100000
3121220212120100100
432132031211200
5444124112432
640032022400
76005526420
oct1636154540
9556776310
10242800992
11115066a85
1269391a00
133b3c1a35
1424364480
15164b107c
hexe78d960

242800992 has 144 divisors (see below), whose sum is σ = 816510240. Its totient is φ = 66963456.

The previous prime is 242800939. The next prime is 242800997. The reversal of 242800992 is 299008242.

242800992 is digitally balanced in base 2 and base 3, because in such bases 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 (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242800997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56388 + ... + 60540.

It is an arithmetic number, because the mean of its divisors is an integer number (5670210).

Almost surely, 2242800992 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 242800992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408255120).

242800992 is an abundant number, since it is smaller than the sum of its proper divisors (573709248).

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

242800992 is a wasteful number, since it uses less digits than its factorization.

242800992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 242800992 is about 15582.0727761104. The cubic root of 242800992 is about 623.8547492295.

The spelling of 242800992 in words is "two hundred forty-two million, eight hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4153 4176 4872 6496 7308 8306 8352 9744 12459 14616 16612 19488 24918 29071 29232 33224 37377 49836 58142 58464 66448 74754 87213 99672 116284 120437 132896 149508 174426 199344 232568 240874 261639 299016 348852 361311 398688 465136 481748 523278 598032 697704 722622 843059 930272 963496 1046556 1083933 1196064 1395408 1445244 1686118 1926992 2093112 2167866 2529177 2790816 2890488 3372236 3853984 4186224 4335732 5058354 5780976 6744472 7587531 8372448 8671464 10116708 11561952 13488944 15175062 17342928 20233416 26977888 30350124 34685856 40466832 60700248 80933664 121400496 242800992