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29248272 = 2432238831
BaseRepresentation
bin110111110010…
…0101100010000
32001000222002100
41233210230100
524441421042
62522520400
7503414634
oct157445420
961028070
1029248272
1115567729
129966100
1360a0a91
143c54dc4
15287b24c
hex1be4b10

29248272 has 60 divisors (see below), whose sum is σ = 85423104. Its totient is φ = 9324480.

The previous prime is 29248259. The next prime is 29248273. The reversal of 29248272 is 27284292.

It is a happy number.

It is a super-2 number, since 2×292482722 = 1710922829971968, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (29248273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1104 + ... + 7727.

Almost surely, 229248272 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 29248272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42711552).

29248272 is an abundant number, since it is smaller than the sum of its proper divisors (56174832).

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

29248272 is a wasteful number, since it uses less digits than its factorization.

29248272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8868 (or 8859 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 29248272 is about 5408.1671571800. The cubic root of 29248272 is about 308.1059398315.

The spelling of 29248272 in words is "twenty-nine million, two hundred forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 8831 17662 26493 35324 52986 70648 79479 105972 141296 158958 203113 211944 317916 406226 423888 609339 635832 812452 1218678 1271664 1624904 1828017 2437356 3249808 3656034 4874712 7312068 9749424 14624136 29248272