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4499012192 = 251773193587
BaseRepresentation
bin1000011000010100…
…10111101001100000
3102121112200111111012
410030022113221200
533203221342232
62022233240052
7216326654423
oct41412275140
912545614435
104499012192
1119a96364a4
12a56863028
1356911bcbc
1430972d9ba
151b4e959b2
hex10c297a60

4499012192 has 96 divisors (see below), whose sum is σ = 9572465952. Its totient is φ = 2073821184.

The previous prime is 4499012183. The next prime is 4499012227. The reversal of 4499012192 is 2912109944.

It is a super-2 number, since 2×44990121922 = 40482221407529289728, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7664123 + ... + 7664709.

It is an arithmetic number, because the mean of its divisors is an integer number (99713187).

Almost surely, 24499012192 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 4499012192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786232976).

4499012192 is an abundant number, since it is smaller than the sum of its proper divisors (5073453760).

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

4499012192 is a wasteful number, since it uses less digits than its factorization.

4499012192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 4499012192 is about 67074.6762347758. The cubic root of 4499012192 is about 1650.8428130088.

The spelling of 4499012192 in words is "four billion, four hundred ninety-nine million, twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 68 73 136 146 193 272 292 386 544 584 587 772 1168 1174 1241 1544 2336 2348 2482 3088 3281 4696 4964 6176 6562 9392 9928 9979 13124 14089 18784 19856 19958 26248 28178 39712 39916 42851 52496 56356 79832 85702 104992 112712 113291 159664 171404 225424 226582 239513 319328 342808 450848 453164 479026 685616 728467 906328 958052 1371232 1456934 1812656 1916104 1925947 2913868 3625312 3832208 3851894 5827736 7664416 7703788 8270243 11655472 15407576 16540486 23310944 30815152 33080972 61630304 66161944 132323888 140594131 264647776 281188262 562376524 1124753048 2249506096 4499012192