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1395248148 = 223272790957
BaseRepresentation
bin101001100101001…
…1100110000010100
310121020101221122100
41103022130300110
510324140420043
6350241002100
746401261600
oct12312346024
93536357570
101395248148
11656643648
1232b323330
131930a6928
14d3436500
1582756cd3
hex5329cc14

1395248148 has 54 divisors (see below), whose sum is σ = 4102699146. Its totient is φ = 398641824.

The previous prime is 1395248143. The next prime is 1395248159. The reversal of 1395248148 is 8418425931.

1395248148 is a `hidden beast` number, since 1 + 3 + 9 + 524 + 81 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 789497604 + 605750544 = 28098^2 + 24612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395248143) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 393715 + ... + 397242.

Almost surely, 21395248148 is an apocalyptic number.

1395248148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1395248148 is an abundant number, since it is smaller than the sum of its proper divisors (2707450998).

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

1395248148 is a wasteful number, since it uses less digits than its factorization.

1395248148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790981 (or 790969 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1395248148 is about 37353.0206007493. The cubic root of 1395248148 is about 1117.4218301851.

The spelling of 1395248148 in words is "one billion, three hundred ninety-five million, two hundred forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 790957 1581914 2372871 3163828 4745742 5536699 7118613 9491484 11073398 14237226 16610097 22146796 28474452 33220194 38756893 49830291 66440388 77513786 99660582 116270679 155027572 199321164 232541358 348812037 465082716 697624074 1395248148