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1982618352 = 2432111396281
BaseRepresentation
bin111011000101100…
…0101101011110000
312010011122110002100
41312023011223300
513030022241402
6524422220400
7100062656301
oct16613055360
95104573070
101982618352
11928155570
12473b84700
1325799c970
1414b4527a8
15b90cc71c
hex762c5af0

1982618352 has 120 divisors (see below), whose sum is σ = 6518676528. Its totient is φ = 554572800.

The previous prime is 1982618347. The next prime is 1982618381. The reversal of 1982618352 is 2538162891.

1982618352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1982618298 and 1982618307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27549 + ... + 68732.

Almost surely, 21982618352 is an apocalyptic number.

1982618352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1982618352 is an abundant number, since it is smaller than the sum of its proper divisors (4536058176).

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

1982618352 is a wasteful number, since it uses less digits than its factorization.

1982618352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96319 (or 96310 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 1982618352 is about 44526.6027448760. The cubic root of 1982618352 is about 1256.2605075827.

The spelling of 1982618352 in words is "one billion, nine hundred eighty-two million, six hundred eighteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 96281 192562 288843 385124 577686 770248 866529 1059091 1155372 1251653 1540496 1733058 2118182 2310744 2503306 3177273 3466116 3754959 4236364 4621488 5006612 6354546 6932232 7509918 8472728 9531819 10013224 11264877 12709092 13768183 13864464 15019836 16945456 19063638 20026448 22529754 25418184 27536366 30039672 38127276 41304549 45059508 50836368 55072732 60079344 76254552 82609098 90119016 110145464 123913647 152509104 165218196 180238032 220290928 247827294 330436392 495654588 660872784 991309176 1982618352