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242502000 = 24353133109
BaseRepresentation
bin11100111010001…
…00100101110000
3121220022101012120
432131010211300
5444040031000
640021354240
76003142626
oct1635044560
9556271176
10242502000
11114982384
1269268980
133b318910
14242c7516
15164526a0
hexe744970

242502000 has 160 divisors (see below), whose sum is σ = 842237760. Its totient is φ = 59673600.

The previous prime is 242501993. The next prime is 242502047. The reversal of 242502000 is 205242.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 76446 + ... + 79554.

It is an arithmetic number, because the mean of its divisors is an integer number (5263986).

Almost surely, 2242502000 is an apocalyptic number.

242502000 is a gapful number since it is divisible by the number (20) 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 242502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421118880).

242502000 is an abundant number, since it is smaller than the sum of its proper divisors (599735760).

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

242502000 is a wasteful number, since it uses less digits than its factorization.

242502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 242502000 is about 15572.4757183949. The cubic root of 242502000 is about 623.5985665905.

Adding to 242502000 its reverse (205242), we get a palindrome (242707242).

The spelling of 242502000 in words is "two hundred forty-two million, five hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3109 3120 3250 3900 4875 5200 6000 6218 6500 7800 9327 9750 12436 13000 15545 15600 18654 19500 24872 26000 31090 37308 39000 40417 46635 49744 62180 74616 77725 78000 80834 93270 121251 124360 149232 155450 161668 186540 202085 233175 242502 248720 310900 323336 373080 388625 404170 466350 485004 606255 621800 646672 746160 777250 808340 932700 970008 1010425 1165875 1212510 1243600 1554500 1616680 1865400 1940016 2020850 2331750 2425020 3031275 3109000 3233360 3730800 4041700 4663500 4850040 5052125 6062550 6218000 8083400 9327000 9700080 10104250 12125100 15156375 16166800 18654000 20208500 24250200 30312750 40417000 48500400 60625500 80834000 121251000 242502000