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299038272 = 26313235209
BaseRepresentation
bin10001110100101…
…111011001000000
3202211200201101120
4101310233121000
51103023211042
645401232240
710260532461
oct2164573100
9684621346
10299038272
11143887975
1284192680
1349c52130
142ba02d68
151b3bddec
hex11d2f640

299038272 has 112 divisors (see below), whose sum is σ = 889284480. Its totient is φ = 87994368.

The previous prime is 299038241. The next prime is 299038277. The reversal of 299038272 is 272830992.

299038272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (299038277) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54804 + ... + 60012.

It is an arithmetic number, because the mean of its divisors is an integer number (7940040).

Almost surely, 2299038272 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 299038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444642240).

299038272 is an abundant number, since it is smaller than the sum of its proper divisors (590246208).

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

299038272 is a wasteful number, since it uses less digits than its factorization.

299038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 299038272 is about 17292.7230938334. The cubic root of 299038272 is about 668.7168371828.

The spelling of 299038272 in words is "two hundred ninety-nine million, thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 138 156 184 192 208 276 299 312 368 416 552 598 624 736 832 897 1104 1196 1248 1472 1794 2208 2392 2496 3588 4416 4784 5209 7176 9568 10418 14352 15627 19136 20836 28704 31254 41672 57408 62508 67717 83344 119807 125016 135434 166688 203151 239614 250032 270868 333376 359421 406302 479228 500064 541736 718842 812604 958456 1000128 1083472 1437684 1557491 1625208 1916912 2166944 2875368 3114982 3250416 3833824 4333888 4672473 5750736 6229964 6500832 7667648 9344946 11501472 12459928 13001664 18689892 23002944 24919856 37379784 49839712 74759568 99679424 149519136 299038272