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148628640 = 25351943379
BaseRepresentation
bin10001101101111…
…10010010100000
3101100200010011110
420312332102200
5301022104030
622425343320
73453215436
oct1066762240
9340603143
10148628640
1176995996
1241937b40
1324a3b954
1415a4cd56
15d0ad1b0
hex8dbe4a0

148628640 has 192 divisors, whose sum is σ = 505612800. Its totient is φ = 36578304.

The previous prime is 148628639. The next prime is 148628651. The reversal of 148628640 is 46826841.

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 31 ways as a sum of consecutive naturals, for example, 391971 + ... + 392349.

It is an arithmetic number, because the mean of its divisors is an integer number (2633400).

Almost surely, 2148628640 is an apocalyptic number.

148628640 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 148628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252806400).

148628640 is an abundant number, since it is smaller than the sum of its proper divisors (356984160).

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

148628640 is a wasteful number, since it uses less digits than its factorization.

148628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 148628640 is about 12191.3346275131. The cubic root of 148628640 is about 529.7051166076.

The spelling of 148628640 in words is "one hundred forty-eight million, six hundred twenty-eight thousand, six hundred forty".