Search a number
-
+
729941148 = 223267302629
BaseRepresentation
bin101011100000100…
…000010010011100
31212212111212000100
4223200200102130
52443331104043
6200233101100
724042253206
oct5340402234
91785455010
10729941148
1134503a652
12184557790
13b82c3651
146cd2d776
1544138cd3
hex2b82049c

729941148 has 36 divisors (see below), whose sum is σ = 1872674440. Its totient is φ = 239681376.

The previous prime is 729941141. The next prime is 729941171. The reversal of 729941148 is 841149927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729941141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 148903 + ... + 153726.

Almost surely, 2729941148 is an apocalyptic number.

It is an amenable number.

729941148 is an abundant number, since it is smaller than the sum of its proper divisors (1142733292).

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

729941148 is a wasteful number, since it uses less digits than its factorization.

729941148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302706 (or 302701 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 729941148 is about 27017.4230451389. The cubic root of 729941148 is about 900.3871371519.

The spelling of 729941148 in words is "seven hundred twenty-nine million, nine hundred forty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 302629 605258 907887 1210516 1815774 2723661 3631548 5447322 10894644 20276143 40552286 60828429 81104572 121656858 182485287 243313716 364970574 729941148