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148493520 = 24335722361
BaseRepresentation
bin10001101100111…
…01010011010000
3101100102020211000
420312131103100
5301003243040
622422422000
73452113500
oct1066352320
9340366730
10148493520
117690341a
1241891900
13249c22b6
1415a15a00
15d083130
hex8d9d4d0

148493520 has 480 divisors, whose sum is σ = 631031040. Its totient is φ = 31933440.

The previous prime is 148493519. The next prime is 148493537. The reversal of 148493520 is 25394841.

148493520 is a `hidden beast` number, since 1 + 48 + 4 + 93 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 2434290 + ... + 2434350.

It is an arithmetic number, because the mean of its divisors is an integer number (1314648).

Almost surely, 2148493520 is an apocalyptic number.

148493520 is a gapful number since it is divisible by the number (10) 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 148493520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315515520).

148493520 is an abundant number, since it is smaller than the sum of its proper divisors (482537520).

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

148493520 is a wasteful number, since it uses less digits than its factorization.

148493520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 148493520 is about 12185.7917264329. The cubic root of 148493520 is about 529.5445476087.

The spelling of 148493520 in words is "one hundred forty-eight million, four hundred ninety-three thousand, five hundred twenty".