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3212489472 = 28322718427
BaseRepresentation
bin1011111101111010…
…1011001100000000
322021212212101002120
42333132223030000
523034344130342
61250434444240
7142415465343
oct27736531400
98255771076
103212489472
1113a9403985
12757a33680
133c272255a
1422691a45a
1513c068aec
hexbf7ab300

3212489472 has 72 divisors (see below), whose sum is σ = 8588037696. Its totient is φ = 1066054656.

The previous prime is 3212489453. The next prime is 3212489479. The reversal of 3212489472 is 2749842123.

It is not an unprimeable number, because it can be changed into a prime (3212489479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165123 + ... + 183549.

Almost surely, 23212489472 is an apocalyptic number.

3212489472 is a gapful number since it is divisible by the number (32) 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 3212489472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294018848).

3212489472 is an abundant number, since it is smaller than the sum of its proper divisors (5375548224).

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

3212489472 is a wasteful number, since it uses less digits than its factorization.

3212489472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18673 (or 18659 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 3212489472 is about 56678.8273696625. The cubic root of 3212489472 is about 1475.5272610070.

The spelling of 3212489472 in words is "three billion, two hundred twelve million, four hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 256 384 454 681 768 908 1362 1816 2724 3632 5448 7264 10896 14528 18427 21792 29056 36854 43584 55281 58112 73708 87168 110562 147416 174336 221124 294832 442248 589664 884496 1179328 1768992 2358656 3537984 4182929 4717312 7075968 8365858 12548787 14151936 16731716 25097574 33463432 50195148 66926864 100390296 133853728 200780592 267707456 401561184 535414912 803122368 1070829824 1606244736 3212489472