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150838848 = 26365361
BaseRepresentation
bin10001111110110…
…01111001000000
3101111211102000000
420333121321000
5302103320343
622545000000
73511052256
oct1077317100
9344742000
10150838848
1178165506
1242623000
1325333974
14160665d6
15d397ed3
hex8fd9e40

150838848 has 196 divisors, whose sum is σ = 464739228. Its totient is φ = 48522240.

The previous prime is 150838837. The next prime is 150838927. The reversal of 150838848 is 848838051.

150838848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 103063104 = 6912^2 + 10152^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2472738 + ... + 2472798.

Almost surely, 2150838848 is an apocalyptic number.

150838848 is a gapful number since it is divisible by the number (18) 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 150838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232369614).

150838848 is an abundant number, since it is smaller than the sum of its proper divisors (313900380).

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

150838848 is an frugal number, since it uses more digits than its factorization.

150838848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 150838848 is about 12281.6467951167. The cubic root of 150838848 is about 532.3178984551.

The spelling of 150838848 in words is "one hundred fifty million, eight hundred thirty-eight thousand, eight hundred forty-eight".