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4949206272 = 283579559
BaseRepresentation
bin1001001101111111…
…01110010100000000
3110202220210201200000
410212333232110000
540113444100042
62135034400000
7233434362543
oct44677562400
913686721600
104949206272
11210a774a1a
12b61590000
1360b48612a
1434d43c85a
151de77174c
hex126fee500

4949206272 has 108 divisors (see below), whose sum is σ = 14798478240. Its totient is φ = 1649714688.

The previous prime is 4949206271. The next prime is 4949206313. The reversal of 4949206272 is 2726029494.

It is a happy number.

4949206272 is a `hidden beast` number, since 494 + 92 + 0 + 6 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4949206271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22429 + ... + 101987.

Almost surely, 24949206272 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 4949206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399239120).

4949206272 is an abundant number, since it is smaller than the sum of its proper divisors (9849271968).

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

4949206272 is an frugal number, since it uses more digits than its factorization.

4949206272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79590 (or 79564 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4949206272 is about 70350.5953919368. The cubic root of 4949206272 is about 1704.1658239735.

The spelling of 4949206272 in words is "four billion, nine hundred forty-nine million, two hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 62208 79559 159118 238677 318236 477354 636472 716031 954708 1272944 1432062 1909416 2148093 2545888 2864124 3818832 4296186 5091776 5728248 6444279 7637664 8592372 10183552 11456496 12888558 15275328 17184744 19332837 20367104 22912992 25777116 30550656 34369488 38665674 45825984 51554232 61101312 68738976 77331348 91651968 103108464 137477952 154662696 183303936 206216928 274955904 309325392 412433856 549911808 618650784 824867712 1237301568 1649735424 2474603136 4949206272