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48066984 = 23327283337
BaseRepresentation
bin1011011101011…
…1000110101000
310100110001111200
42313113012220
544301120414
64434124200
71122363660
oct267270650
9110401450
1048066984
1125150489
1214120660
139c5c604
1465531a0
154347109
hex2dd71a8

48066984 has 96 divisors (see below), whose sum is σ = 149747520. Its totient is φ = 13644288.

The previous prime is 48066937. The next prime is 48066989. The reversal of 48066984 is 48966084.

It is a happy number.

It is a super-3 number, since 3×480669843 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (48066989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142464 + ... + 142800.

It is an arithmetic number, because the mean of its divisors is an integer number (1559870).

Almost surely, 248066984 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 48066984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74873760).

48066984 is an abundant number, since it is smaller than the sum of its proper divisors (101680536).

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

48066984 is a wasteful number, since it uses less digits than its factorization.

48066984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 48066984 is about 6933.0356987398. The cubic root of 48066984 is about 363.5930927754.

The spelling of 48066984 in words is "forty-eight million, sixty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 283 337 504 566 674 849 1011 1132 1348 1698 1981 2022 2264 2359 2547 2696 3033 3396 3962 4044 4718 5094 5943 6066 6792 7077 7924 8088 9436 10188 11886 12132 14154 15848 17829 18872 20376 21231 23772 24264 28308 35658 42462 47544 56616 71316 84924 95371 142632 169848 190742 286113 381484 572226 667597 762968 858339 1144452 1335194 1716678 2002791 2288904 2670388 3433356 4005582 5340776 6008373 6866712 8011164 12016746 16022328 24033492 48066984