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242191248 = 2431317379
BaseRepresentation
bin11100110111110…
…00101110010000
3121212201120221020
432123320232100
5444000104443
640010555440
76000406635
oct1633705620
9555646836
10242191248
1111478a962
1269138b80
133b23a340
142424618c
15163e0583
hexe6f8b90

242191248 has 160 divisors (see below), whose sum is σ = 724953600. Its totient is φ = 69249024.

The previous prime is 242191241. The next prime is 242191253. The reversal of 242191248 is 842191242.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242191241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3065673 + ... + 3065751.

It is an arithmetic number, because the mean of its divisors is an integer number (4530960).

Almost surely, 2242191248 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 242191248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362476800).

242191248 is an abundant number, since it is smaller than the sum of its proper divisors (482762352).

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

242191248 is a wasteful number, since it uses less digits than its factorization.

242191248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 242191248 is about 15562.4949156618. The cubic root of 242191248 is about 623.3320844787.

The spelling of 242191248 in words is "two hundred forty-two million, one hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 79 102 104 136 156 158 204 208 221 237 272 289 312 316 408 442 474 578 624 632 663 816 867 884 948 1027 1156 1264 1326 1343 1734 1768 1896 2054 2312 2652 2686 3081 3468 3536 3757 3792 4029 4108 4624 4913 5304 5372 6162 6936 7514 8058 8216 9826 10608 10744 11271 12324 13872 14739 15028 16116 16432 17459 19652 21488 22542 22831 24648 29478 30056 32232 34918 39304 45084 45662 49296 52377 58956 60112 63869 64464 68493 69836 78608 90168 91324 104754 117912 127738 136986 139672 180336 182648 191607 209508 235824 255476 273972 279344 296803 365296 383214 388127 419016 510952 547944 593606 766428 776254 838032 890409 1021904 1095888 1164381 1187212 1532856 1552508 1780818 2328762 2374424 3065712 3105016 3561636 4657524 4748848 5045651 6210032 7123272 9315048 10091302 14246544 15136953 18630096 20182604 30273906 40365208 60547812 80730416 121095624 242191248