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148368672 = 253457241
BaseRepresentation
bin10001101011111…
…10110100100000
3101100011220120000
420311332310200
5300440244142
622420020000
73451053504
oct1065766440
9340156500
10148368672
1176828641
1241831600
132497a51a
14159c2304
15d05b14c
hex8d7ed20

148368672 has 60 divisors (see below), whose sum is σ = 436355766. Its totient is φ = 49455360.

The previous prime is 148368667. The next prime is 148368691. The reversal of 148368672 is 276863841.

148368672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 140280336 + 8088336 = 11844^2 + 2844^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 26029 + ... + 31212.

Almost surely, 2148368672 is an apocalyptic number.

148368672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148368672 is an abundant number, since it is smaller than the sum of its proper divisors (287987094).

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

148368672 is an equidigital number, since it uses as much as digits as its factorization.

148368672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57263 (or 57246 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 148368672 is about 12180.6679619798. The cubic root of 148368672 is about 529.3960986737.

The spelling of 148368672 in words is "one hundred forty-eight million, three hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 57241 114482 171723 228964 343446 457928 515169 686892 915856 1030338 1373784 1545507 1831712 2060676 2747568 3091014 4121352 4636521 5495136 6182028 8242704 9273042 12364056 16485408 18546084 24728112 37092168 49456224 74184336 148368672