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482367960 = 23345236473
BaseRepresentation
bin11100110000000…
…101100111011000
31020121122211110000
4130300011213120
51441441233320
6115510453000
714645026404
oct3460054730
91217584400
10482367960
11228314208
12115664160
1378c20739
14480c6104
152c533c90
hex1cc059d8

482367960 has 160 divisors (see below), whose sum is σ = 1692044640. Its totient is φ = 123019776.

The previous prime is 482367929. The next prime is 482367973. The reversal of 482367960 is 69763284.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 71284 + ... + 77756.

It is an arithmetic number, because the mean of its divisors is an integer number (10575279).

Almost surely, 2482367960 is an apocalyptic number.

482367960 is a gapful number since it is divisible by the number (40) 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 482367960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846022320).

482367960 is an abundant number, since it is smaller than the sum of its proper divisors (1209676680).

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

482367960 is a wasteful number, since it uses less digits than its factorization.

482367960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519 (or 6506 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 482367960 is about 21962.8768607394. The cubic root of 482367960 is about 784.2589514933.

The spelling of 482367960 in words is "four hundred eighty-two million, three hundred sixty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 270 276 324 345 360 405 414 460 540 552 621 648 690 810 828 920 1035 1080 1242 1380 1620 1656 1863 2070 2484 2760 3105 3240 3726 4140 4968 6210 6473 7452 8280 9315 12420 12946 14904 18630 19419 24840 25892 32365 37260 38838 51784 58257 64730 74520 77676 97095 116514 129460 148879 155352 174771 194190 233028 258920 291285 297758 349542 388380 446637 466056 524313 582570 595516 699084 744395 776760 873855 893274 1048626 1165140 1191032 1339911 1398168 1488790 1747710 1786548 2097252 2233185 2330280 2621565 2679822 2977580 3495420 3573096 4019733 4194504 4466370 5243130 5359644 5955160 6699555 6990840 8039466 8932740 10486260 10719288 12059199 13399110 16078932 17865480 20098665 20972520 24118398 26798220 32157864 40197330 48236796 53596440 60295995 80394660 96473592 120591990 160789320 241183980 482367960