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242793096 = 233713195851
BaseRepresentation
bin11100111100010…
…11101010001000
3121220212011111220
432132023222020
5444123334341
640031522040
76005464410
oct1636135210
9556764456
10242793096
11115061057
1269389320
133b3bb270
1424361640
15164ada66
hexe78ba88

242793096 has 128 divisors (see below), whose sum is σ = 786508800. Its totient is φ = 60652800.

The previous prime is 242793079. The next prime is 242793101. The reversal of 242793096 is 690397242.

It is a happy number.

242793096 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38571 + ... + 44421.

It is an arithmetic number, because the mean of its divisors is an integer number (6144600).

Almost surely, 2242793096 is an apocalyptic number.

242793096 is a gapful number since it is divisible by the number (26) 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 242793096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393254400).

242793096 is an abundant number, since it is smaller than the sum of its proper divisors (543715704).

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

242793096 is a wasteful number, since it uses less digits than its factorization.

242793096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899 (or 5895 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 242793096 is about 15581.8194059616. The cubic root of 242793096 is about 623.8479864751.

The spelling of 242793096 in words is "two hundred forty-two million, seven hundred ninety-three thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1482 1596 1729 1976 2184 2964 3192 3458 5187 5851 5928 6916 10374 11702 13832 17553 20748 23404 35106 40957 41496 46808 70212 76063 81914 111169 122871 140424 152126 163828 222338 228189 245742 304252 327656 333507 444676 456378 491484 532441 608504 667014 778183 889352 912756 982968 1064882 1334028 1445197 1556366 1597323 1825512 2129764 2334549 2668056 2890394 3112732 3194646 4259528 4335591 4669098 5780788 6225464 6389292 8671182 9338196 10116379 11561576 12778584 17342364 18676392 20232758 30349137 34684728 40465516 60698274 80931032 121396548 242793096