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148758480 = 243251323691
BaseRepresentation
bin10001101110111…
…01111111010000
3101100220201021100
420313131333100
5301040232410
622432224400
73454266123
oct1067357720
9340821240
10148758480
1176a744a2
124199b100
1324a85a90
1415a843ba
15d0d68c0
hex8dddfd0

148758480 has 240 divisors, whose sum is σ = 562214016. Its totient is φ = 34974720.

The previous prime is 148758479. The next prime is 148758481. The reversal of 148758480 is 84857841.

It is an interprime number because it is at equal distance from previous prime (148758479) and next prime (148758481).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148758481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214935 + ... + 215625.

Almost surely, 2148758480 is an apocalyptic number.

148758480 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 148758480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281107008).

148758480 is an abundant number, since it is smaller than the sum of its proper divisors (413455536).

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

148758480 is a wasteful number, since it uses less digits than its factorization.

148758480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 148758480 is about 12196.6585588021. The cubic root of 148758480 is about 529.8593194910.

The spelling of 148758480 in words is "one hundred forty-eight million, seven hundred fifty-eight thousand, four hundred eighty".