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4913449216 = 281323372
BaseRepresentation
bin1001001001101110…
…10100100100000000
3110200102112002012121
410210313110210000
540030320333331
62131320134024
7232521425554
oct44467244400
913612462177
104913449216
1120a1572135
12b51607314
13603c46900
143487b1864
151db55bc11
hex124dd4900

4913449216 has 81 divisors (see below), whose sum is σ = 10651785291. Its totient is φ = 2261016576.

The previous prime is 4913449213. The next prime is 4913449237. The reversal of 4913449216 is 6129443194.

The square root of 4913449216 is 70096.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1705359616 + 3208089600 = 41296^2 + 56640^2 .

It is a super-2 number, since 2×49134492162 = 48283966396422029312, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4913449213) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14579800 + ... + 14580136.

Almost surely, 24913449216 is an apocalyptic number.

4913449216 is the 70096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4913449216

4913449216 is an abundant number, since it is smaller than the sum of its proper divisors (5738336075).

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

4913449216 is an frugal number, since it uses more digits than its factorization.

4913449216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 352 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The cubic root of 4913449216 is about 1700.0518111084.

Multiplying 4913449216 by its product of digits (186624), we get a square (916967546486784 = 302814722).

The spelling of 4913449216 in words is "four billion, nine hundred thirteen million, four hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 337 338 416 674 676 832 1348 1352 1664 2696 2704 3328 4381 5392 5408 8762 10784 10816 17524 21568 21632 35048 43136 43264 56953 70096 86272 113569 113906 140192 227138 227812 280384 454276 455624 560768 908552 911248 1121536 1476397 1817104 1822496 2952794 3634208 3644992 5905588 7268416 7289984 11811176 14536832 14579968 19193161 23622352 29073664 38386322 47244704 76772644 94489408 153545288 188978816 307090576 377957632 614181152 1228362304 2456724608 4913449216