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48608784 = 243272832
BaseRepresentation
bin1011100101101…
…1011000010000
310101110120201100
42321123120100
544420440114
64453504400
71130111400
oct271333020
9111416640
1048608784
1125490554
1214342100
13a0bc0c3
146654800
154402909
hex2e5b610

48608784 has 135 divisors (see below), whose sum is σ = 160176783. Its totient is φ = 13720896.

The previous prime is 48608761. The next prime is 48608809. The reversal of 48608784 is 48780684.

The square root of 48608784 is 6972.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 585607 + ... + 585689.

Almost surely, 248608784 is an apocalyptic number.

48608784 is the 6972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48608784

48608784 is an abundant number, since it is smaller than the sum of its proper divisors (111567999).

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

48608784 is a wasteful number, since it uses less digits than its factorization.

48608784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The cubic root of 48608784 is about 364.9541044438.

The spelling of 48608784 in words is "forty-eight million, six hundred eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 83 84 98 112 126 144 147 166 168 196 249 252 294 332 336 392 441 498 504 581 588 664 747 784 882 996 1008 1162 1176 1328 1494 1743 1764 1992 2324 2352 2988 3486 3528 3984 4067 4648 5229 5976 6889 6972 7056 8134 9296 10458 11952 12201 13778 13944 16268 20667 20916 24402 27556 27888 32536 36603 41334 41832 48223 48804 55112 62001 65072 73206 82668 83664 96446 97608 110224 124002 144669 146412 165336 192892 195216 248004 289338 292824 330672 337561 385784 434007 496008 578676 585648 675122 771568 868014 992016 1012683 1157352 1350244 1736028 2025366 2314704 2700488 3038049 3472056 4050732 5400976 6076098 6944112 8101464 12152196 16202928 24304392 48608784