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2442992448 = 263133131573
BaseRepresentation
bin1001000110011101…
…0001101101000000
320022020220212121210
42101213101231000
520000401224243
61042225450120
7114353043651
oct22147215500
96266825553
102442992448
111044007426
125821a0940
132cc18c580
14192651528
15e4719933
hex919d1b40

2442992448 has 112 divisors (see below), whose sum is σ = 7185737216. Its totient is φ = 727418880.

The previous prime is 2442992443. The next prime is 2442992459. The reversal of 2442992448 is 8442992442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2442992397 and 2442992406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442992443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61590 + ... + 93162.

It is an arithmetic number, because the mean of its divisors is an integer number (64158368).

Almost surely, 22442992448 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 2442992448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592868608).

2442992448 is an abundant number, since it is smaller than the sum of its proper divisors (4742744768).

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

2442992448 is a wasteful number, since it uses less digits than its factorization.

2442992448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31632 (or 31622 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 2442992448 is about 49426.6370290353. The cubic root of 2442992448 is about 1346.8132328577.

The spelling of 2442992448 in words is "two billion, four hundred forty-two million, nine hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6448 9672 12896 19344 25792 31573 38688 63146 77376 94719 126292 189438 252584 378876 410449 505168 757752 820898 978763 1010336 1231347 1515504 1641796 1957526 2020672 2462694 2936289 3031008 3283592 3915052 4925388 5872578 6062016 6567184 7830104 9850776 11745156 12723919 13134368 15660208 19701552 23490312 25447838 26268736 31320416 38171757 39403104 46980624 50895676 62640832 76343514 78806208 93961248 101791352 152687028 187922496 203582704 305374056 407165408 610748112 814330816 1221496224 2442992448