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148361112 = 233373972
BaseRepresentation
bin10001101011111…
…00111110011000
3101100011112012000
420311330332120
5300440023422
622415521000
73451022454
oct1065747630
9340145160
10148361112
1176822999
1241829160
1324976c53
14159bd664
15d058cac
hex8d7cf98

148361112 has 96 divisors (see below), whose sum is σ = 422110800. Its totient is φ = 48273408.

The previous prime is 148361111. The next prime is 148361113. The reversal of 148361112 is 211163841.

It is a happy number.

148361112 is a `hidden beast` number, since 1 + 48 + 3 + 611 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (148361111) and next prime (148361113).

It is a super-2 number, since 2×1483611122 = 44022039107753088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148361111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1529448 + ... + 1529544.

Almost surely, 2148361112 is an apocalyptic number.

148361112 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 148361112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211055400).

148361112 is an abundant number, since it is smaller than the sum of its proper divisors (273749688).

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

148361112 is an equidigital number, since it uses as much as digits as its factorization.

148361112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 175 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 148361112 is about 12180.3576302176. The cubic root of 148361112 is about 529.3871068777.

The spelling of 148361112 in words is "one hundred forty-eight million, three hundred sixty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 97 108 146 194 216 219 291 292 388 438 582 584 657 776 873 876 1164 1314 1746 1752 1971 2328 2619 2628 3492 3942 5238 5256 6984 7081 7884 9409 10476 14162 15768 18818 20952 21243 28227 28324 37636 42486 56454 56648 63729 75272 84681 84972 112908 127458 169362 169944 191187 225816 254043 254916 338724 382374 508086 509832 677448 686857 764748 1016172 1373714 1529496 2032344 2060571 2747428 4121142 5494856 6181713 8242284 12363426 16484568 18545139 24726852 37090278 49453704 74180556 148361112