Search a number
-
+
148195872 = 25331131503
BaseRepresentation
bin10001101010101…
…00101000100000
3101022212010112000
420311110220200
5300414231442
622412204000
73446433636
oct1065245040
9338763460
10148195872
117671a830
1241769600
1324919986
1415979356
15d024d4c
hex8d54a20

148195872 has 192 divisors, whose sum is σ = 487710720. Its totient is φ = 43372800.

The previous prime is 148195871. The next prime is 148195937. The reversal of 148195872 is 278591841.

148195872 is a `hidden beast` number, since 1 + 481 + 95 + 87 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (148195871) 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, 294373 + ... + 294875.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2148195872 is an apocalyptic number.

148195872 is a gapful number since it is divisible by the number (12) 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 148195872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

148195872 is an abundant number, since it is smaller than the sum of its proper divisors (339514848).

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

148195872 is a wasteful number, since it uses less digits than its factorization.

148195872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 550 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 148195872 is about 12173.5726884099. The cubic root of 148195872 is about 529.1904955590.

The spelling of 148195872 in words is "one hundred forty-eight million, one hundred ninety-five thousand, eight hundred seventy-two".