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749001216 = 293895479
BaseRepresentation
bin101100101001001…
…101101000000000
31221012101012111210
4230221031220000
53013221014331
6202153410120
724363256005
oct5451155000
91835335453
10749001216
11354878777
1218aa09940
13bc237cb2
14716918ac
1545b51446
hex2ca4da00

749001216 has 80 divisors (see below), whose sum is σ = 2018174400. Its totient is φ = 246816768.

The previous prime is 749001191. The next prime is 749001221. The reversal of 749001216 is 612100947.

It is a happy number.

It is a super-2 number, since 2×7490012162 = 1122005643138957312, which contains 22 as substring.

It is an unprimeable number.

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, 133965 + ... + 139443.

It is an arithmetic number, because the mean of its divisors is an integer number (25227180).

Almost surely, 2749001216 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 749001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009087200).

749001216 is an abundant number, since it is smaller than the sum of its proper divisors (1269173184).

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

749001216 is an equidigital number, since it uses as much as digits as its factorization.

749001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5589 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 749001216 is about 27367.8865826355. The cubic root of 749001216 is about 908.1568037012.

The spelling of 749001216 in words is "seven hundred forty-nine million, one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 768 1068 1424 1536 2136 2848 4272 5479 5696 8544 10958 11392 16437 17088 21916 22784 32874 34176 43832 45568 65748 68352 87664 131496 136704 175328 262992 350656 487631 525984 701312 975262 1051968 1402624 1462893 1950524 2103936 2805248 2925786 3901048 4207872 5851572 7802096 8415744 11703144 15604192 23406288 31208384 46812576 62416768 93625152 124833536 187250304 249667072 374500608 749001216