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242763480 = 23345312417
BaseRepresentation
bin11100111100001…
…00011011011000
3121220210122220000
432132010123120
5444121412410
640031133000
76005312151
oct1636043330
9556718800
10242763480
11115040883
1269374160
133b3aa93b
1424354928
15164a4dc0
hexe7846d8

242763480 has 160 divisors (see below), whose sum is σ = 842624640. Its totient is φ = 62622720.

The previous prime is 242763473. The next prime is 242763491. The reversal of 242763480 is 84367242.

242763480 is a `hidden beast` number, since 242 + 76 + 348 + 0 = 666.

242763480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99232 + ... + 101648.

It is an arithmetic number, because the mean of its divisors is an integer number (5266404).

Almost surely, 2242763480 is an apocalyptic number.

242763480 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 242763480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421312320).

242763480 is an abundant number, since it is smaller than the sum of its proper divisors (599861160).

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

242763480 is a wasteful number, since it uses less digits than its factorization.

242763480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 242763480 is about 15580.8690386641. The cubic root of 242763480 is about 623.8226197004.

The spelling of 242763480 in words is "two hundred forty-two million, seven hundred sixty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 81 90 93 108 120 124 135 155 162 180 186 216 248 270 279 310 324 360 372 405 465 540 558 620 648 744 810 837 930 1080 1116 1240 1395 1620 1674 1860 2232 2417 2511 2790 3240 3348 3720 4185 4834 5022 5580 6696 7251 8370 9668 10044 11160 12085 12555 14502 16740 19336 20088 21753 24170 25110 29004 33480 36255 43506 48340 50220 58008 65259 72510 74927 87012 96680 100440 108765 130518 145020 149854 174024 195777 217530 224781 261036 290040 299708 326295 374635 391554 435060 449562 522072 599416 652590 674343 749270 783108 870120 899124 978885 1123905 1305180 1348686 1498540 1566216 1798248 1957770 2023029 2247810 2610360 2697372 2997080 3371715 3915540 4046058 4495620 5394744 6069087 6743430 7831080 8092116 8991240 10115145 12138174 13486860 16184232 20230290 24276348 26973720 30345435 40460580 48552696 60690870 80921160 121381740 242763480