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148288384 = 27471572
BaseRepresentation
bin10001101011010…
…11001110000000
3101100000211102101
420311223032000
5300430212014
622414200144
73450300436
oct1065531600
9340024371
10148288384
1176783292
12417b3054
132494cb0a
14159a0d56
15d042474
hex8d6b380

148288384 has 48 divisors (see below), whose sum is σ = 303637680. Its totient is φ = 72104448.

The previous prime is 148288373. The next prime is 148288447. The reversal of 148288384 is 483882841.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 944434 + ... + 944590.

It is an arithmetic number, because the mean of its divisors is an integer number (6325785).

Almost surely, 2148288384 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 148288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151818840).

148288384 is an abundant number, since it is smaller than the sum of its proper divisors (155349296).

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

148288384 is an frugal number, since it uses more digits than its factorization.

148288384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 206 counting only the distinct ones).

The product of its digits is 393216, while the sum is 46.

The square root of 148288384 is about 12177.3718018298. The cubic root of 148288384 is about 529.3005892408.

The spelling of 148288384 in words is "one hundred forty-eight million, two hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 157 188 314 376 628 752 1256 1504 2512 3008 5024 6016 7379 10048 14758 20096 24649 29516 49298 59032 98596 118064 197192 236128 394384 472256 788768 944512 1158503 1577536 2317006 3155072 4634012 9268024 18536048 37072096 74144192 148288384