Search a number
-
+
29957472 = 253334673
BaseRepresentation
bin111001001000…
…1110101100000
32002100222221000
41302101311200
530132114342
62550032000
7512430366
oct162216540
962328830
1029957472
1115a01546
12a048600
13628b81c
143d9b636
15296b44c
hex1c91d60

29957472 has 48 divisors (see below), whose sum is σ = 87378480. Its totient is φ = 9985536.

The previous prime is 29957467. The next prime is 29957479. The reversal of 29957472 is 27475992.

29957472 is a `hidden beast` number, since 2 + 9 + 9 + 574 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29957479) 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 7 ways as a sum of consecutive naturals, for example, 16473 + ... + 18200.

It is an arithmetic number, because the mean of its divisors is an integer number (1820385).

Almost surely, 229957472 is an apocalyptic number.

It is an amenable number.

29957472 is an abundant number, since it is smaller than the sum of its proper divisors (57421008).

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

29957472 is a wasteful number, since it uses less digits than its factorization.

29957472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34692 (or 34678 counting only the distinct ones).

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

The square root of 29957472 is about 5473.3419407159. The cubic root of 29957472 is about 310.5763540666.

The spelling of 29957472 in words is "twenty-nine million, nine hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 34673 69346 104019 138692 208038 277384 312057 416076 554768 624114 832152 936171 1109536 1248228 1664304 1872342 2496456 3328608 3744684 4992912 7489368 9985824 14978736 29957472