Search a number
-
+
148726440 = 23325413129
BaseRepresentation
bin10001101110101…
…10001010101000
3101100212002022200
420313112022220
5301033221230
622431420200
73454103532
oct1067261250
9340762280
10148726440
1176a52415
1241984660
1324a74315
1415a76852
15d0cc160
hex8dd62a8

148726440 has 48 divisors (see below), whose sum is σ = 483362100. Its totient is φ = 39660288.

The previous prime is 148726423. The next prime is 148726447. The reversal of 148726440 is 44627841.

148726440 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 2 + 644 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 146458404 + 2268036 = 12102^2 + 1506^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 148726395 and 148726404.

It is not an unprimeable number, because it can be changed into a prime (148726447) 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 11 ways as a sum of consecutive naturals, for example, 206205 + ... + 206924.

Almost surely, 2148726440 is an apocalyptic number.

148726440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148726440 is an abundant number, since it is smaller than the sum of its proper divisors (334635660).

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

148726440 is a wasteful number, since it uses less digits than its factorization.

148726440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413146 (or 413139 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 148726440 is about 12195.3450135697. The cubic root of 148726440 is about 529.8212759196.

It can be divided in two parts, 14872 and 6440, that added together give a palindrome (21312).

The spelling of 148726440 in words is "one hundred forty-eight million, seven hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 413129 826258 1239387 1652516 2065645 2478774 3305032 3718161 4131290 4957548 6196935 7436322 8262580 9915096 12393870 14872644 16525160 18590805 24787740 29745288 37181610 49575480 74363220 148726440