Search a number
-
+
29328552 = 233211191949
BaseRepresentation
bin110111111100…
…0010010101000
32001012001012200
41233320102220
530002003202
62524340200
7504200661
oct157702250
961161180
1029328552
1115611a80
1299a4660
1360cb496
143c76368
152894e1c
hex1bf84a8

29328552 has 96 divisors (see below), whose sum is σ = 91260000. Its totient is φ = 8415360.

The previous prime is 29328527. The next prime is 29328569. The reversal of 29328552 is 25582392.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14074 + ... + 16022.

It is an arithmetic number, because the mean of its divisors is an integer number (950625).

Almost surely, 229328552 is an apocalyptic number.

29328552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29328552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45630000).

29328552 is an abundant number, since it is smaller than the sum of its proper divisors (61931448).

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

29328552 is a wasteful number, since it uses less digits than its factorization.

29328552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1984 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 29328552 is about 5415.5841790152. The cubic root of 29328552 is about 308.3875763995.

The spelling of 29328552 in words is "twenty-nine million, three hundred twenty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 1949 2508 3762 3898 5016 5847 7524 7796 11694 15048 15592 17541 21439 23388 35082 37031 42878 46776 64317 70164 74062 85756 111093 128634 140328 148124 171512 192951 222186 257268 296248 333279 385902 407341 444372 514536 666558 771804 814682 888744 1222023 1333116 1543608 1629364 2444046 2666232 3258728 3666069 4888092 7332138 9776184 14664276 29328552