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2443604072 = 2371317474201
BaseRepresentation
bin1001000110100110…
…0111000001101000
320022022001221121112
42101221213001220
520001030312242
61042250525452
7114361202060
oct22151470150
96268057545
102443604072
1110443949a8
12582436888
132cc344a90
141927703a0
15e47dac82
hex91a67068

2443604072 has 128 divisors (see below), whose sum is σ = 6099287040. Its totient is φ = 890265600.

The previous prime is 2443604069. The next prime is 2443604081. The reversal of 2443604072 is 2704063442.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 579572 + ... + 583772.

It is an arithmetic number, because the mean of its divisors is an integer number (47650680).

Almost surely, 22443604072 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 2443604072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049643520).

2443604072 is an abundant number, since it is smaller than the sum of its proper divisors (3655682968).

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

2443604072 is a wasteful number, since it uses less digits than its factorization.

2443604072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 2443604072 is about 49432.8238319439. The cubic root of 2443604072 is about 1346.9256188734.

The spelling of 2443604072 in words is "two billion, four hundred forty-three million, six hundred four thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 47 52 56 68 91 94 104 119 136 182 188 221 238 329 364 376 442 476 611 658 728 799 884 952 1222 1316 1547 1598 1768 2444 2632 3094 3196 4201 4277 4888 5593 6188 6392 8402 8554 10387 11186 12376 16804 17108 20774 22372 29407 33608 34216 41548 44744 54613 58814 71417 72709 83096 109226 117628 142834 145418 197447 218452 235256 285668 290836 382291 394894 436904 499919 571336 581672 764582 789788 928421 999838 1382129 1529164 1579576 1856842 1999676 2566811 2764258 3058328 3356599 3713684 3999352 5133622 5528516 6498947 6713198 7427368 10267244 11057032 12997894 13426396 17967677 20534488 23496193 25995788 26852792 35935354 43635787 46992386 51991576 71870708 87271574 93984772 143741416 174543148 187969544 305450509 349086296 610901018 1221802036 2443604072