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148233888 = 2535111733
BaseRepresentation
bin10001101010111…
…01111010100000
3101022221001200000
420311131322200
5300421441023
622413100000
73446652525
oct1065357240
9338831600
10148233888
1176746350
1241787600
132493107a
141598914c
15d031243
hex8d5dea0

148233888 has 144 divisors (see below), whose sum is σ = 477169056. Its totient is φ = 44893440.

The previous prime is 148233881. The next prime is 148233893. The reversal of 148233888 is 888332841.

148233888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (148233881) 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, 84670 + ... + 86402.

It is an arithmetic number, because the mean of its divisors is an integer number (3313674).

Almost surely, 2148233888 is an apocalyptic number.

148233888 is a gapful number since it is divisible by the number (18) 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 148233888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238584528).

148233888 is an abundant number, since it is smaller than the sum of its proper divisors (328935168).

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

148233888 is a wasteful number, since it uses less digits than its factorization.

148233888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1749 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 148233888 is about 12175.1340033693. The cubic root of 148233888 is about 529.2357419517.

The spelling of 148233888 in words is "one hundred forty-eight million, two hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1733 1782 1944 2376 2592 2673 3168 3466 3564 3888 4752 5199 5346 6932 7128 7776 9504 10398 10692 13864 14256 15597 19063 20796 21384 27728 28512 31194 38126 41592 42768 46791 55456 57189 62388 76252 83184 85536 93582 114378 124776 140373 152504 166368 171567 187164 228756 249552 280746 305008 343134 374328 421119 457512 499104 514701 561492 610016 686268 748656 842238 915024 1029402 1122984 1372536 1497312 1544103 1684476 1830048 2058804 2245968 2745072 3088206 3368952 4117608 4491936 4632309 5490144 6176412 6737904 8235216 9264618 12352824 13475808 16470432 18529236 24705648 37058472 49411296 74116944 148233888