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2444724096 = 273231312113
BaseRepresentation
bin1001000110110111…
…1000011110000000
320022101011211222220
42101231320132000
520001322132341
61042330531040
7114403545333
oct22155703600
96271154886
102444724096
111044a8a441
12582896a80
132cc647809
1419298261a
15e495ca66
hex91b78780

2444724096 has 128 divisors (see below), whose sum is σ = 6831095040. Its totient is φ = 773160960.

The previous prime is 2444724031. The next prime is 2444724101. The reversal of 2444724096 is 6904274442.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155936 + ... + 1158048.

It is an arithmetic number, because the mean of its divisors is an integer number (53367930).

Almost surely, 22444724096 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 2444724096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415547520).

2444724096 is an abundant number, since it is smaller than the sum of its proper divisors (4386370944).

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

2444724096 is a wasteful number, since it uses less digits than its factorization.

2444724096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 2444724096 is about 49444.1512820273. The cubic root of 2444724096 is about 1347.1313748724.

The spelling of 2444724096 in words is "two billion, four hundred forty-four million, seven hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 131 138 184 192 262 276 368 384 393 524 552 736 786 1048 1104 1472 1572 2096 2113 2208 2944 3013 3144 4192 4226 4416 6026 6288 6339 8384 8452 8832 9039 12052 12576 12678 16768 16904 18078 24104 25152 25356 33808 36156 48208 48599 50304 50712 67616 72312 96416 97198 101424 135232 144624 145797 192832 194396 202848 270464 276803 289248 291594 385664 388792 405696 553606 578496 583188 777584 811392 830409 1107212 1156992 1166376 1555168 1660818 2214424 2332752 3110336 3321636 4428848 4665504 6220672 6366469 6643272 8857696 9331008 12732938 13286544 17715392 18662016 19099407 25465876 26573088 35430784 38198814 50931752 53146176 76397628 101863504 106292352 152795256 203727008 305590512 407454016 611181024 814908032 1222362048 2444724096