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148233972 = 223193591811
BaseRepresentation
bin10001101010111…
…01111011110100
3101022221001210010
420311131323310
5300421441342
622413100220
73446653005
oct1065357364
9338831703
10148233972
1176746417
1241787670
1324931113
14159891ac
15d03129c
hex8d5def4

148233972 has 48 divisors (see below), whose sum is σ = 365299200. Its totient is φ = 46654560.

The previous prime is 148233947. The next prime is 148233973. The reversal of 148233972 is 279332841.

It is a self number, because there is not a number n which added to its sum of digits gives 148233972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148233973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80947 + ... + 82757.

It is an arithmetic number, because the mean of its divisors is an integer number (7610400).

Almost surely, 2148233972 is an apocalyptic number.

148233972 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 148233972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182649600).

148233972 is an abundant number, since it is smaller than the sum of its proper divisors (217065228).

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

148233972 is a wasteful number, since it uses less digits than its factorization.

148233972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2194 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 148233972 is about 12175.1374530229. The cubic root of 148233972 is about 529.2358419194.

The spelling of 148233972 in words is "one hundred forty-eight million, two hundred thirty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 359 718 1077 1436 1811 2154 3622 4308 5433 6821 7244 10866 13642 20463 21732 27284 34409 40926 68818 81852 103227 137636 206454 412908 650149 1300298 1950447 2600596 3900894 7801788 12352831 24705662 37058493 49411324 74116986 148233972