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148015296 = 26331113599
BaseRepresentation
bin10001101001010…
…00100011000000
3101022111221211000
420310220203000
5300342442141
622404252000
73445052322
oct1064504300
9338457730
10148015296
11766070a0
12416a1000
1324885720
141592d612
15cedb5b6
hex8d288c0

148015296 has 224 divisors, whose sum is σ = 512064000. Its totient is φ = 41333760.

The previous prime is 148015291. The next prime is 148015303. The reversal of 148015296 is 692510841.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148015296.

It is not an unprimeable number, because it can be changed into a prime (148015291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246805 + ... + 247403.

It is an arithmetic number, because the mean of its divisors is an integer number (2286000).

Almost surely, 2148015296 is an apocalyptic number.

148015296 is a gapful number since it is divisible by the number (16) 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 148015296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256032000).

148015296 is an abundant number, since it is smaller than the sum of its proper divisors (364048704).

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

148015296 is a wasteful number, since it uses less digits than its factorization.

148015296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 148015296 is about 12166.1537060815. The cubic root of 148015296 is about 528.9754694571.

The spelling of 148015296 in words is "one hundred forty-eight million, fifteen thousand, two hundred ninety-six".