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148590048 = 2531798647
BaseRepresentation
bin10001101101101…
…00110111100000
3101100121011020010
420312310313200
5301014340143
622424444520
73452665065
oct1066646740
9340534203
10148590048
11769699a2
1241919740
1324a27209
1415a3cc6c
15d0a1a33
hex8db4de0

148590048 has 48 divisors (see below), whose sum is σ = 392273280. Its totient is φ = 49247616.

The previous prime is 148590019. The next prime is 148590059. The reversal of 148590048 is 840095841.

148590048 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 junction number, because it is equal to n+sod(n) for n = 148589988 and 148590015.

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, 12861 + ... + 21507.

It is an arithmetic number, because the mean of its divisors is an integer number (8172360).

Almost surely, 2148590048 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 148590048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196136640).

148590048 is an abundant number, since it is smaller than the sum of its proper divisors (243683232).

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

148590048 is a wasteful number, since it uses less digits than its factorization.

148590048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8839 (or 8831 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 148590048 is about 12189.7517612132. The cubic root of 148590048 is about 529.6592659797.

The spelling of 148590048 in words is "one hundred forty-eight million, five hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 2148 2864 4296 5728 8592 8647 17184 17294 25941 34588 51882 69176 103764 138352 207528 276704 415056 830112 1547813 3095626 4643439 6191252 9286878 12382504 18573756 24765008 37147512 49530016 74295024 148590048