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148593984 = 26371119232
BaseRepresentation
bin10001101101101…
…01110101000000
3101100121100121220
420312311311000
5301020001414
622424515040
73453012420
oct1066656500
9340540556
10148593984
1176971950
124191ba80
1324a28c46
1415a40480
15d0a2ca9
hex8db5d40

148593984 has 336 divisors, whose sum is σ = 539374080. Its totient is φ = 34974720.

The previous prime is 148593979. The next prime is 148594031. The reversal of 148593984 is 489395841.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6460597 + ... + 6460619.

It is an arithmetic number, because the mean of its divisors is an integer number (1605280).

Almost surely, 2148593984 is an apocalyptic number.

148593984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148593984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269687040).

148593984 is an abundant number, since it is smaller than the sum of its proper divisors (390780096).

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

148593984 is a wasteful number, since it uses less digits than its factorization.

148593984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 148593984 is about 12189.9132072382. The cubic root of 148593984 is about 529.6639426510.

The spelling of 148593984 in words is "one hundred forty-eight million, five hundred ninety-three thousand, nine hundred eighty-four".