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148677768 = 23344792
BaseRepresentation
bin10001101110010…
…10010010001000
3101100202121120000
420313022102020
5301030142033
622430403000
73453511611
oct1067122210
9340677500
10148677768
1176a19898
1241960460
1324a58115
1415a62c08
15d0bca13
hex8dca488

148677768 has 60 divisors (see below), whose sum is σ = 417306615. Its totient is φ = 49455792.

The previous prime is 148677761. The next prime is 148677769. The reversal of 148677768 is 867776841.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 74338884 + 74338884 = 8622^2 + 8622^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8622.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (148677761) 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 14 ways as a sum of consecutive naturals, for example, 310153 + ... + 310631.

Almost surely, 2148677768 is an apocalyptic number.

148677768 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 148677768

148677768 is an abundant number, since it is smaller than the sum of its proper divisors (268628847).

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

148677768 is an frugal number, since it uses more digits than its factorization.

148677768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 484 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 148677768 is about 12193.3493347808. The cubic root of 148677768 is about 529.7634734318.

The spelling of 148677768 in words is "one hundred forty-eight million, six hundred seventy-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 479 648 958 1437 1916 2874 3832 4311 5748 8622 11496 12933 17244 25866 34488 38799 51732 77598 103464 155196 229441 310392 458882 688323 917764 1376646 1835528 2064969 2753292 4129938 5506584 6194907 8259876 12389814 16519752 18584721 24779628 37169442 49559256 74338884 148677768