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2494244352 = 29317591619
BaseRepresentation
bin1001010010101011…
…0010011000000000
320102211100202000110
42110222302120000
520102011304402
61051300151320
7115544504265
oct22452623000
96384322013
102494244352
11106aa32776
12597398540
13309995742
1419939326c
15e8e9056c
hex94ab2600

2494244352 has 160 divisors (see below), whose sum is σ = 7159363200. Its totient is φ = 768770048.

The previous prime is 2494244351. The next prime is 2494244359. The reversal of 2494244352 is 2534424942.

It is a self number, because there is not a number n which added to its sum of digits gives 2494244352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2494244351) 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 15 ways as a sum of consecutive naturals, for example, 1539799 + ... + 1541417.

It is an arithmetic number, because the mean of its divisors is an integer number (44746020).

Almost surely, 22494244352 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 2494244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579681600).

2494244352 is an abundant number, since it is smaller than the sum of its proper divisors (4665118848).

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

2494244352 is a wasteful number, since it uses less digits than its factorization.

2494244352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1700 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The square root of 2494244352 is about 49942.4103543271. The cubic root of 2494244352 is about 1356.1664591467.

The spelling of 2494244352 in words is "two billion, four hundred ninety-four million, two hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 64 68 96 102 118 128 136 177 192 204 236 256 272 354 384 408 472 512 544 708 768 816 944 1003 1088 1416 1536 1619 1632 1888 2006 2176 2832 3009 3238 3264 3776 4012 4352 4857 5664 6018 6476 6528 7552 8024 8704 9714 11328 12036 12952 13056 15104 16048 19428 22656 24072 25904 26112 27523 30208 32096 38856 45312 48144 51808 55046 64192 77712 82569 90624 95521 96288 103616 110092 128384 155424 165138 191042 192576 207232 220184 256768 286563 310848 330276 382084 385152 414464 440368 513536 573126 621696 660552 764168 770304 828928 880736 1146252 1243392 1321104 1528336 1540608 1623857 1761472 2292504 2486784 2642208 3056672 3247714 3522944 4585008 4871571 5284416 6113344 6495428 7045888 9170016 9743142 10568832 12226688 12990856 14091776 18340032 19486284 21137664 24453376 25981712 36680064 38972568 42275328 48906752 51963424 73360128 77945136 103926848 146720256 155890272 207853696 311780544 415707392 623561088 831414784 1247122176 2494244352