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148044288 = 29373281
BaseRepresentation
bin10001101001011…
…11101000000000
3101022120102120210
420310233220000
5300344404123
622405034120
73445233000
oct1064575000
9338512523
10148044288
1176626957
12416b5940
1324895992
141593a000
15cee4e93
hex8d2fa00

148044288 has 160 divisors (see below), whose sum is σ = 461577600. Its totient is φ = 42147840.

The previous prime is 148044287. The next prime is 148044293. The reversal of 148044288 is 882440841.

148044288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1480442882 = 43834222418853888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (148044283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526708 + ... + 526988.

It is an arithmetic number, because the mean of its divisors is an integer number (2884860).

Almost surely, 2148044288 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 148044288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230788800).

148044288 is an abundant number, since it is smaller than the sum of its proper divisors (313533312).

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

148044288 is an frugal number, since it uses more digits than its factorization.

148044288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 148044288 is about 12167.3451500317. The cubic root of 148044288 is about 529.0100043014.

The spelling of 148044288 in words is "one hundred forty-eight million, forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 281 294 336 343 384 392 448 512 562 588 672 686 768 784 843 896 1029 1124 1176 1344 1372 1536 1568 1686 1792 1967 2058 2248 2352 2688 2744 3136 3372 3584 3934 4116 4496 4704 5376 5488 5901 6272 6744 7868 8232 8992 9408 10752 10976 11802 12544 13488 13769 15736 16464 17984 18816 21952 23604 25088 26976 27538 31472 32928 35968 37632 41307 43904 47208 53952 55076 62944 65856 71936 75264 82614 87808 94416 96383 107904 110152 125888 131712 143872 165228 175616 188832 192766 215808 220304 251776 263424 289149 330456 377664 385532 431616 440608 503552 526848 578298 660912 755328 771064 881216 1007104 1156596 1321824 1510656 1542128 1762432 2313192 2643648 3021312 3084256 3524864 4626384 5287296 6168512 7049728 9252768 10574592 12337024 18505536 21149184 24674048 37011072 49348096 74022144 148044288