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242693496 = 23341722031
BaseRepresentation
bin11100111011100…
…11010101111000
3121220200002220000
432131303111320
5444112142441
640025433000
76004601133
oct1635632570
9556602800
10242693496
11114aa3241
126933b760
133b384b26
142433721a
151648e2b6
hexe773578

242693496 has 80 divisors (see below), whose sum is σ = 719785440. Its totient is φ = 76135680.

The previous prime is 242693453. The next prime is 242693509. The reversal of 242693496 is 694396242.

242693496 is a `hidden beast` number, since 242 + 69 + 349 + 6 = 666.

242693496 is a nontrivial binomial coefficient, being equal to C(22032, 2).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1 + ... + 22031.

It is an arithmetic number, because the mean of its divisors is an integer number (8997318).

Almost surely, 2242693496 is an apocalyptic number.

242693496 is the 22031-st triangular number and also the 11016-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242693496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359892720).

242693496 is an abundant number, since it is smaller than the sum of its proper divisors (477091944).

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

242693496 is a wasteful number, since it uses less digits than its factorization.

242693496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22066 (or 22053 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 242693496 is about 15578.6230456995. The cubic root of 242693496 is about 623.7626686209.

The spelling of 242693496 in words is "two hundred forty-two million, six hundred ninety-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 22031 44062 66093 88124 132186 176248 198279 264372 374527 396558 528744 594837 749054 793116 1123581 1189674 1498108 1586232 1784511 2247162 2379348 2996216 3370743 3569022 4494324 4758696 6741486 7138044 8988648 10112229 13482972 14276088 20224458 26965944 30336687 40448916 60673374 80897832 121346748 242693496