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1996337232 = 243341269419
BaseRepresentation
bin111011011111101…
…1011000001010000
312011010110102212000
41312333123001100
513042030242412
6530032234000
7100320405111
oct16677330120
95133412760
101996337232
1193497578a
1247869b900
1325a794146
1414d1c4208
15ba3dc4dc
hex76fdb050

1996337232 has 160 divisors (see below), whose sum is σ = 5905872000. Its totient is φ = 645258240.

The previous prime is 1996337209. The next prime is 1996337249. The reversal of 1996337232 is 2327336991.

1996337232 is a `hidden beast` number, since 1 + 9 + 9 + 633 + 7 + 2 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4764319 + ... + 4764737.

It is an arithmetic number, because the mean of its divisors is an integer number (36911700).

Almost surely, 21996337232 is an apocalyptic number.

1996337232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1996337232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952936000).

1996337232 is an abundant number, since it is smaller than the sum of its proper divisors (3909534768).

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

1996337232 is a wasteful number, since it uses less digits than its factorization.

1996337232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 734 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 1996337232 is about 44680.3897923910. The cubic root of 1996337232 is about 1259.1514468066.

It can be divided in two parts, 1996337 and 232, that added together give a square (1996569 = 14132).

The spelling of 1996337232 in words is "one billion, nine hundred ninety-six million, three hundred thirty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 269 328 369 419 432 492 538 656 738 807 838 984 1076 1107 1257 1476 1614 1676 1968 2152 2214 2421 2514 2952 3228 3352 3771 4304 4428 4842 5028 5904 6456 6704 7263 7542 8856 9684 10056 11029 11313 12912 14526 15084 17179 17712 19368 20112 22058 22626 29052 30168 33087 34358 38736 44116 45252 51537 58104 60336 66174 68716 88232 90504 99261 103074 112711 116208 132348 137432 154611 176464 181008 198522 206148 225422 264696 274864 297783 309222 338133 397044 412296 450844 463833 529392 595566 618444 676266 794088 824592 901688 927666 1014399 1191132 1236888 1352532 1588176 1803376 1855332 2028798 2382264 2473776 2705064 3043197 3710664 4057596 4621151 4764528 5410128 6086394 7421328 8115192 9242302 12172788 13863453 16230384 18484604 24345576 27726906 36969208 41590359 48691152 55453812 73938416 83180718 110907624 124771077 166361436 221815248 249542154 332722872 499084308 665445744 998168616 1996337232