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148482312 = 233113118143
BaseRepresentation
bin10001101100110…
…10100100001000
3101100101200102220
420312122210020
5301002413222
622422254040
73452036016
oct1066324410
9340350386
10148482312
11768a5a60
1241887320
13249ba174
1415a118b6
15d07eb5c
hex8d9a908

148482312 has 64 divisors (see below), whose sum is σ = 418037760. Its totient is φ = 43540800.

The previous prime is 148482277. The next prime is 148482329. The reversal of 148482312 is 213284841.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 888 + ... + 17255.

It is an arithmetic number, because the mean of its divisors is an integer number (6531840).

Almost surely, 2148482312 is an apocalyptic number.

148482312 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 148482312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

148482312 is an abundant number, since it is smaller than the sum of its proper divisors (269555448).

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

148482312 is a wasteful number, since it uses less digits than its factorization.

148482312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18194 (or 18190 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 148482312 is about 12185.3318379107. The cubic root of 148482312 is about 529.5312242784.

The spelling of 148482312 in words is "one hundred forty-eight million, four hundred eighty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 18143 36286 54429 72572 108858 145144 199573 217716 399146 435432 562433 598719 798292 1124866 1197438 1596584 1687299 2249732 2394876 3374598 4499464 4789752 6186763 6749196 12373526 13498392 18560289 24747052 37120578 49494104 74241156 148482312