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148098528 = 25322332207
BaseRepresentation
bin10001101001111…
…00110111100000
3101022200011222200
420310330313200
5300403123103
622410133200
73445550064
oct1064746740
9338604880
10148098528
1176663686
1241721200
13248b4586
1415951aa4
15d0060a3
hex8d3cde0

148098528 has 72 divisors (see below), whose sum is σ = 423154368. Its totient is φ = 49132032.

The previous prime is 148098497. The next prime is 148098539. The reversal of 148098528 is 825890841.

It is a happy number.

148098528 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66001 + ... + 68207.

It is an arithmetic number, because the mean of its divisors is an integer number (5877144).

Almost surely, 2148098528 is an apocalyptic number.

148098528 is a gapful number since it is divisible by the number (18) 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 148098528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211577184).

148098528 is an abundant number, since it is smaller than the sum of its proper divisors (275055840).

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

148098528 is a wasteful number, since it uses less digits than its factorization.

148098528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 148098528 is about 12169.5738627119. The cubic root of 148098528 is about 529.0746020862.

The spelling of 148098528 in words is "one hundred forty-eight million, ninety-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 233 288 466 699 932 1398 1864 2097 2207 2796 3728 4194 4414 5592 6621 7456 8388 8828 11184 13242 16776 17656 19863 22368 26484 33552 35312 39726 52968 67104 70624 79452 105936 158904 211872 317808 514231 635616 1028462 1542693 2056924 3085386 4113848 4628079 6170772 8227696 9256158 12341544 16455392 18512316 24683088 37024632 49366176 74049264 148098528