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148313808 = 2433734703
BaseRepresentation
bin10001101011100…
…01011011010000
3101100002010022000
420311301123100
5300432020213
622414514000
73450434526
oct1065613320
9340063260
10148313808
11767a03a5
1241805900
132495b566
14159aa316
15d049c73
hex8d716d0

148313808 has 80 divisors (see below), whose sum is σ = 431639040. Its totient is φ = 48750336.

The previous prime is 148313807. The next prime is 148313819. The reversal of 148313808 is 808313841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148313807) 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 15 ways as a sum of consecutive naturals, for example, 29185 + ... + 33887.

It is an arithmetic number, because the mean of its divisors is an integer number (5395488).

Almost surely, 2148313808 is an apocalyptic number.

148313808 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 148313808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215819520).

148313808 is an abundant number, since it is smaller than the sum of its proper divisors (283325232).

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

148313808 is a wasteful number, since it uses less digits than its factorization.

148313808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 148313808 is about 12178.4156605036. The cubic root of 148313808 is about 529.3308369892.

The spelling of 148313808 in words is "one hundred forty-eight million, three hundred thirteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1752 1971 2628 3504 3942 4703 5256 7884 9406 10512 14109 15768 18812 28218 31536 37624 42327 56436 75248 84654 112872 126981 169308 225744 253962 338616 343319 507924 677232 686638 1015848 1029957 1373276 2031696 2059914 2746552 3089871 4119828 5493104 6179742 8239656 9269613 12359484 16479312 18539226 24718968 37078452 49437936 74156904 148313808