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148318848 = 2732128749
BaseRepresentation
bin10001101011100…
…10101010000000
3101100002101012200
420311302222000
5300432200343
622414553200
73450455316
oct1065625200
9340071180
10148318848
11767a4167
1241808800
1324960942
14159ac0b6
15d04b4d3
hex8d72a80

148318848 has 48 divisors (see below), whose sum is σ = 426806250. Its totient is φ = 49439232.

The previous prime is 148318843. The next prime is 148318901. The reversal of 148318848 is 848813841.

It can be written as a sum of positive squares in only one way, i.e., 145733184 + 2585664 = 12072^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (148318843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63223 + ... + 65526.

Almost surely, 2148318848 is an apocalyptic number.

148318848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

148318848 is an abundant number, since it is smaller than the sum of its proper divisors (278487402).

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

148318848 is a wasteful number, since it uses less digits than its factorization.

148318848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128769 (or 128754 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 148318848 is about 12178.6225822135. The cubic root of 148318848 is about 529.3368328283.

The spelling of 148318848 in words is "one hundred forty-eight million, three hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 128749 257498 386247 514996 772494 1029992 1158741 1544988 2059984 2317482 3089976 4119968 4634964 6179952 8239936 9269928 12359904 16479872 18539856 24719808 37079712 49439616 74159424 148318848