Search a number
-
+
29972745 = 32511151401
BaseRepresentation
bin111001001010…
…1100100001001
32002101202212200
41302111210021
530133111440
62550230413
7512523045
oct162254411
962352780
1029972745
1115a11a70
12a055409
13629576a
143da3025
152970c30
hex1c95909

29972745 has 48 divisors (see below), whose sum is σ = 57193344. Its totient is φ = 14400000.

The previous prime is 29972743. The next prime is 29972759. The reversal of 29972745 is 54727992.

It is not a de Polignac number, because 29972745 - 21 = 29972743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 29972745.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29972741) 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 47 ways as a sum of consecutive naturals, for example, 74545 + ... + 74945.

It is an arithmetic number, because the mean of its divisors is an integer number (1191528).

Almost surely, 229972745 is an apocalyptic number.

It is an amenable number.

29972745 is a deficient number, since it is larger than the sum of its proper divisors (27220599).

29972745 is a wasteful number, since it uses less digits than its factorization.

29972745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 571 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 29972745 is about 5474.7369799836. The cubic root of 29972745 is about 310.6291247275.

The spelling of 29972745 in words is "twenty-nine million, nine hundred seventy-two thousand, seven hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 151 165 401 453 495 755 1203 1359 1661 2005 2265 3609 4411 4983 6015 6795 8305 13233 14949 18045 22055 24915 39699 60551 66165 74745 181653 198495 302755 544959 666061 908265 1998183 2724795 3330305 5994549 9990915 29972745