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48054888 = 23327253257
BaseRepresentation
bin1011011101010…
…0001001101000
310100102102220200
42313110021220
544300224023
64433552200
71122313500
oct267241150
9110372820
1048054888
1125142392
1214115660
139c56c5b
14654ca00
154343743
hex2dd4268

48054888 has 144 divisors (see below), whose sum is σ = 154854180. Its totient is φ = 13418496.

The previous prime is 48054887. The next prime is 48054899. The reversal of 48054888 is 88845084.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39162564 + 8892324 = 6258^2 + 2982^2 .

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (48054887) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186856 + ... + 187112.

Almost surely, 248054888 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 48054888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77427090).

48054888 is an abundant number, since it is smaller than the sum of its proper divisors (106799292).

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

48054888 is a wasteful number, since it uses less digits than its factorization.

48054888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 48054888 is about 6932.1632987113. The cubic root of 48054888 is about 363.5625909586.

It can be divided in two parts, 480548 and 88, that multiplied together give a palindrome (42288224).

The spelling of 48054888 in words is "forty-eight million, fifty-four thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 53 56 63 72 84 98 106 126 147 159 168 196 212 252 257 294 318 371 392 424 441 477 504 514 588 636 742 771 882 954 1028 1113 1176 1272 1484 1542 1764 1799 1908 2056 2226 2313 2597 2968 3084 3339 3528 3598 3816 4452 4626 5194 5397 6168 6678 7196 7791 8904 9252 10388 10794 12593 13356 13621 14392 15582 16191 18504 20776 21588 23373 25186 26712 27242 31164 32382 37779 40863 43176 46746 50372 54484 62328 64764 75558 81726 93492 95347 100744 108968 113337 122589 129528 151116 163452 186984 190694 226674 245178 286041 302232 326904 381388 453348 490356 572082 667429 762776 858123 906696 980712 1144164 1334858 1716246 2002287 2288328 2669716 3432492 4004574 5339432 6006861 6864984 8009148 12013722 16018296 24027444 48054888