Search a number
-
+
2929129572 = 2232973311483
BaseRepresentation
bin1010111010010110…
…1111100001100100
321120010200012101110
42232211233201210
521444324121242
61202353225020
7132405122235
oct25645574144
97503605343
102929129572
111273465446
12698b62170
13378acc785
141db03908c
1512224539c
hexae96f864

2929129572 has 48 divisors (see below), whose sum is σ = 7080575040. Its totient is φ = 941340288.

The previous prime is 2929129571. The next prime is 2929129591. The reversal of 2929129572 is 2759219292.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2929129571) 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, 249343 + ... + 260825.

It is an arithmetic number, because the mean of its divisors is an integer number (147511980).

Almost surely, 22929129572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2929129572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540287520).

2929129572 is an abundant number, since it is smaller than the sum of its proper divisors (4151445468).

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

2929129572 is a wasteful number, since it uses less digits than its factorization.

2929129572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12252 (or 12250 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 2929129572 is about 54121.4335730309. The cubic root of 2929129572 is about 1430.8019646246.

The spelling of 2929129572 in words is "two billion, nine hundred twenty-nine million, one hundred twenty-nine thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 733 1466 2199 2932 4398 8796 11483 21257 22966 34449 42514 45932 63771 68898 85028 127542 137796 255084 333007 666014 999021 1332028 1998042 3996084 8417039 16834078 25251117 33668156 50502234 101004468 244094131 488188262 732282393 976376524 1464564786 2929129572