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4492216576 = 28592712
BaseRepresentation
bin1000010111100000…
…11100100100000000
3102121001220020122201
410023300130210000
533200001412301
62021431442544
7216215132221
oct41360344400
912531806581
104492216576
1119a5814891
12a54526454
135678acb23
14308881248
151b45a2201
hex10bc1c900

4492216576 has 81 divisors (see below), whose sum is σ = 9251722963. Its totient is φ = 2176939520.

The previous prime is 4492216571. The next prime is 4492216627. The reversal of 4492216576 is 6756122944.

The square root of 4492216576 is 67024.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4492216571) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 63270621 + ... + 63270691.

Almost surely, 24492216576 is an apocalyptic number.

4492216576 is the 67024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4492216576

4492216576 is an abundant number, since it is smaller than the sum of its proper divisors (4759506387).

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

4492216576 is an frugal number, since it uses more digits than its factorization.

4492216576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 132 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The cubic root of 4492216576 is about 1650.0112121675.

The spelling of 4492216576 in words is "four billion, four hundred ninety-two million, two hundred sixteen thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 59 64 71 118 128 142 236 256 284 472 568 944 1136 1888 2272 3481 3776 4189 4544 5041 6962 7552 8378 9088 10082 13924 15104 16756 18176 20164 27848 33512 40328 55696 67024 80656 111392 134048 161312 222784 247151 268096 297419 322624 445568 494302 536192 594838 645248 891136 988604 1072384 1189676 1290496 1977208 2379352 3954416 4758704 7908832 9517408 15817664 17547721 19034816 31635328 35095442 38069632 63270656 70190884 76139264 140381768 280763536 561527072 1123054144 2246108288 4492216576