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242636004 = 2232132192099
BaseRepresentation
bin11100111011001…
…01010011100100
3121220120012000200
432131211103210
5444103323004
640024310500
76004241412
oct1635452344
9556505020
10242636004
11114a64026
1269312430
133b364900
14243202b2
151647c239
hexe7654e4

242636004 has 108 divisors (see below), whose sum is σ = 699426000. Its totient is φ = 70694208.

The previous prime is 242635963. The next prime is 242636021. The reversal of 242636004 is 400636242.

242636004 is a `hidden beast` number, since 24 + 2 + 636 + 0 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114547 + ... + 116645.

Almost surely, 2242636004 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 242636004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349713000).

242636004 is an abundant number, since it is smaller than the sum of its proper divisors (456789996).

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

242636004 is a wasteful number, since it uses less digits than its factorization.

242636004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 242636004 is about 15576.7777155611. Note that the first 4 decimals coincide. The cubic root of 242636004 is about 623.7134100622.

The spelling of 242636004 in words is "two hundred forty-two million, six hundred thirty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 169 171 228 234 247 338 342 468 494 507 676 684 741 988 1014 1482 1521 2028 2099 2223 2964 3042 3211 4198 4446 6084 6297 6422 8396 8892 9633 12594 12844 18891 19266 25188 27287 28899 37782 38532 39881 54574 57798 75564 79762 81861 109148 115596 119643 159524 163722 239286 245583 327444 354731 358929 478572 491166 518453 709462 717858 982332 1036906 1064193 1418924 1435716 1555359 2073812 2128386 3110718 3192579 4256772 4666077 6221436 6385158 6739889 9332154 12770316 13479778 18664308 20219667 26959556 40439334 60659001 80878668 121318002 242636004