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48969180 = 2232513171231
BaseRepresentation
bin1011101011001…
…1010111011100
310102010220002100
42322303113130
5100014003210
64505325100
71133142201
oct272632734
9112126070
1048969180
11257072a7
1214496790
13a1b7160
146709ca8
1544745c0
hex2eb35dc

48969180 has 144 divisors (see below), whose sum is σ = 169513344. Its totient is φ = 11335680.

The previous prime is 48969157. The next prime is 48969199. The reversal of 48969180 is 8196984.

48969180 is a `hidden beast` number, since 489 + 6 + 91 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 39165 + ... + 40395.

It is an arithmetic number, because the mean of its divisors is an integer number (1177176).

Almost surely, 248969180 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 48969180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84756672).

48969180 is an abundant number, since it is smaller than the sum of its proper divisors (120544164).

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

48969180 is a wasteful number, since it uses less digits than its factorization.

48969180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 48969180 is about 6997.7982251563. The cubic root of 48969180 is about 365.8538339576.

The spelling of 48969180 in words is "forty-eight million, nine hundred sixty-nine thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1231 1326 1530 1989 2210 2340 2462 2652 3060 3315 3693 3978 4420 4924 6155 6630 7386 7956 9945 11079 12310 13260 14772 16003 18465 19890 20927 22158 24620 32006 36930 39780 41854 44316 48009 55395 62781 64012 73860 80015 83708 96018 104635 110790 125562 144027 160030 188343 192036 209270 221580 240045 251124 272051 288054 313905 320060 376686 418540 480090 544102 576108 627810 720135 753372 816153 941715 960180 1088204 1255620 1360255 1440270 1632306 1883430 2448459 2720510 2880540 3264612 3766860 4080765 4896918 5441020 8161530 9793836 12242295 16323060 24484590 48969180