Search a number
-
+
29994272 = 2572113747
BaseRepresentation
bin111001001101…
…0110100100000
32002102212101222
41302122310200
530134304042
62550514212
7512642600
oct162326440
962385358
1029994272
1115a27160
12a065968
1362a24b9
143daac00
1529772d2
hex1c9ad20

29994272 has 144 divisors (see below), whose sum is σ = 78599808. Its totient is φ = 11128320.

The previous prime is 29994271. The next prime is 29994287. The reversal of 29994272 is 27249992.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (29994271) 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 23 ways as a sum of consecutive naturals, for example, 638153 + ... + 638199.

It is an arithmetic number, because the mean of its divisors is an integer number (545832).

Almost surely, 229994272 is an apocalyptic number.

29994272 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 29994272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39299904).

29994272 is an abundant number, since it is smaller than the sum of its proper divisors (48605536).

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

29994272 is a wasteful number, since it uses less digits than its factorization.

29994272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its digits is 163296, while the sum is 44.

The square root of 29994272 is about 5476.7026576216. The cubic root of 29994272 is about 310.7034735280.

The spelling of 29994272 in words is "twenty-nine million, nine hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 47 49 56 74 77 88 94 98 112 148 154 176 188 196 224 259 296 308 329 352 376 392 407 517 518 539 592 616 658 752 784 814 1034 1036 1078 1184 1232 1316 1504 1568 1628 1739 1813 2068 2072 2156 2303 2464 2632 2849 3256 3478 3619 3626 4136 4144 4312 4606 5264 5698 6512 6956 7238 7252 8272 8288 8624 9212 10528 11396 12173 13024 13912 14476 14504 16544 17248 18424 19129 19943 22792 24346 25333 27824 28952 29008 36848 38258 39886 45584 48692 50666 55648 57904 58016 73696 76516 79772 85211 91168 97384 101332 115808 133903 153032 159544 170422 194768 202664 267806 306064 319088 340844 389536 405328 535612 612128 638176 681688 810656 937321 1071224 1363376 1874642 2142448 2726752 3749284 4284896 7498568 14997136 29994272