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48780288 = 210326779
BaseRepresentation
bin1011101000010…
…1010000000000
310101210021222100
42322011100000
544441432123
64501310400
71131424404
oct272052000
9111707870
1048780288
1125598397
1214405400
13a14c19b
14669b104
154438643
hex2e85400

48780288 has 132 divisors (see below), whose sum is σ = 144763840. Its totient is φ = 15814656.

The previous prime is 48780269. The next prime is 48780301. The reversal of 48780288 is 88208784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617433 + ... + 617511.

Almost surely, 248780288 is an apocalyptic number.

48780288 is a gapful number since it is divisible by the number (48) 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 48780288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72381920).

48780288 is an abundant number, since it is smaller than the sum of its proper divisors (95983552).

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

48780288 is a wasteful number, since it uses less digits than its factorization.

48780288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 48780288 is about 6984.2886538287. The cubic root of 48780288 is about 365.3828172208.

The spelling of 48780288 in words is "forty-eight million, seven hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 79 96 128 134 144 158 192 201 237 256 268 288 316 384 402 474 512 536 576 603 632 711 768 804 948 1024 1072 1152 1206 1264 1422 1536 1608 1896 2144 2304 2412 2528 2844 3072 3216 3792 4288 4608 4824 5056 5293 5688 6432 7584 8576 9216 9648 10112 10586 11376 12864 15168 15879 17152 19296 20224 21172 22752 25728 30336 31758 34304 38592 40448 42344 45504 47637 51456 60672 63516 68608 77184 80896 84688 91008 95274 102912 121344 127032 154368 169376 182016 190548 205824 242688 254064 308736 338752 364032 381096 508128 617472 677504 728064 762192 1016256 1355008 1524384 2032512 2710016 3048768 4065024 5420032 6097536 8130048 12195072 16260096 24390144 48780288