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148053984 = 25313118633
BaseRepresentation
bin10001101001100…
…01111111100000
3101022120220212220
420310301333200
5300400211414
622405151040
73445303161
oct1064617740
9338526786
10148053984
1176633171
12416bb480
132489a210
141593d768
15cee7ca9
hex8d31fe0

148053984 has 48 divisors (see below), whose sum is σ = 418540752. Its totient is φ = 45554688.

The previous prime is 148053959. The next prime is 148054051. The reversal of 148053984 is 489350841.

148053984 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58069 + ... + 60564.

It is an arithmetic number, because the mean of its divisors is an integer number (8719599).

Almost surely, 2148053984 is an apocalyptic number.

It is an amenable number.

148053984 is an abundant number, since it is smaller than the sum of its proper divisors (270486768).

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

148053984 is a wasteful number, since it uses less digits than its factorization.

148053984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118659 (or 118651 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 148053984 is about 12167.7435870419. The cubic root of 148053984 is about 529.0215530281.

The spelling of 148053984 in words is "one hundred forty-eight million, fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 118633 237266 355899 474532 711798 949064 1423596 1542229 1898128 2847192 3084458 3796256 4626687 5694384 6168916 9253374 11388768 12337832 18506748 24675664 37013496 49351328 74026992 148053984