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148248000 = 2632532971
BaseRepresentation
bin10001101011000…
…01010111000000
3101022221210000200
420311201113000
5300422414000
622413245200
73450041625
oct1065412700
9338853020
10148248000
1176755a0a
1241793800
1324937614
141599034c
15d035500
hex8d615c0

148248000 has 336 divisors, whose sum is σ = 556320960. Its totient is φ = 37632000.

The previous prime is 148247999. The next prime is 148248031. The reversal of 148248000 is 842841.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2087965 + ... + 2088035.

Almost surely, 2148248000 is an apocalyptic number.

148248000 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 148248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278160480).

148248000 is an abundant number, since it is smaller than the sum of its proper divisors (408072960).

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

148248000 is a wasteful number, since it uses less digits than its factorization.

148248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 148248000 is about 12175.7135314527. The cubic root of 148248000 is about 529.2525359923.

The spelling of 148248000 in words is "one hundred forty-eight million, two hundred forty-eight thousand".