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49087984284 = 22333182717729
BaseRepresentation
bin101101101101110111…
…110011001010011100
311200201000200222021000
4231231313303022130
51301013010444114
634314541510300
73355305660543
oct555567631234
9150630628230
1049087984284
11198aa984159
12961b572390
134823b2a161
14253956715a
151424792e09
hexb6ddf329c

49087984284 has 96 divisors (see below), whose sum is σ = 131536742400. Its totient is φ = 15814794240.

The previous prime is 49087984237. The next prime is 49087984289. The reversal of 49087984284 is 48248978094.

49087984284 is a `hidden beast` number, since 49 + 0 + 87 + 98 + 428 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49087984289) 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, 2759932 + ... + 2777660.

It is an arithmetic number, because the mean of its divisors is an integer number (1370174400).

Almost surely, 249087984284 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 49087984284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65768371200).

49087984284 is an abundant number, since it is smaller than the sum of its proper divisors (82448758116).

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

49087984284 is a wasteful number, since it uses less digits than its factorization.

49087984284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18600 (or 18592 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 49087984284 in words is "forty-nine billion, eighty-seven million, nine hundred eighty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 827 837 1116 1654 1674 2481 3308 3348 4962 7443 9924 14886 17729 22329 25637 29772 35458 44658 51274 53187 70916 76911 89316 102548 106374 153822 159561 212748 230733 307644 319122 461466 478683 549599 638244 692199 922932 957366 1099198 1384398 1648797 1914732 2198396 2768796 3297594 4946391 6595188 9892782 14661883 14839173 19785564 29323766 29678346 43985649 58647532 59356692 87971298 131956947 175942596 263913894 395870841 454518373 527827788 791741682 909036746 1363555119 1583483364 1818073492 2727110238 4090665357 5454220476 8181330714 12271996071 16362661428 24543992142 49087984284