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48973716 = 2232111923283
BaseRepresentation
bin1011101011010…
…0011110010100
310102011010022100
42322310132110
5100014124331
64505402100
71133161341
oct272643624
9112133270
1048973716
112570a750
1214499330
13a1b923c
14670b7c8
154475ae6
hex2eb4794

48973716 has 144 divisors (see below), whose sum is σ = 148861440. Its totient is φ = 13400640.

The previous prime is 48973709. The next prime is 48973747. The reversal of 48973716 is 61737984.

It is a super-3 number, since 3×489737163 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172911 + ... + 173193.

It is an arithmetic number, because the mean of its divisors is an integer number (1033760).

Almost surely, 248973716 is an apocalyptic number.

48973716 is a gapful number since it is divisible by the number (46) 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 48973716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74430720).

48973716 is an abundant number, since it is smaller than the sum of its proper divisors (99887724).

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

48973716 is a wasteful number, since it uses less digits than its factorization.

48973716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 341 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 48973716 is about 6998.1223195940. The cubic root of 48973716 is about 365.8651299180.

The spelling of 48973716 in words is "forty-eight million, nine hundred seventy-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 23 33 36 38 44 46 57 66 69 76 92 99 114 132 138 171 198 207 209 228 253 276 283 342 396 414 418 437 506 566 627 684 759 828 836 849 874 1012 1132 1254 1311 1518 1698 1748 1881 2277 2508 2547 2622 3036 3113 3396 3762 3933 4554 4807 5094 5244 5377 6226 6509 7524 7866 9108 9339 9614 10188 10754 12452 13018 14421 15732 16131 18678 19228 19527 21508 26036 28017 28842 32262 37356 39054 43263 48393 56034 57684 58581 59147 64524 71599 78108 86526 96786 112068 117162 118294 123671 143198 173052 177441 193572 214797 234324 236588 247342 286396 354882 371013 429594 494684 532323 644391 709764 742026 859188 1064646 1113039 1288782 1360381 1484052 2129292 2226078 2577564 2720762 4081143 4452156 5441524 8162286 12243429 16324572 24486858 48973716