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482928880 = 245729131227
BaseRepresentation
bin11100110010001…
…110100011110000
31020122201022212211
4130302032203300
51442112211010
6115530501504
714652553630
oct3462164360
91218638784
10482928880
11228667685
12115894894
1379088b45
14481d06c0
152c5e508a
hex1cc8e8f0

482928880 has 160 divisors (see below), whose sum is σ = 1343485440. Its totient is φ = 157946880.

The previous prime is 482928869. The next prime is 482928883. The reversal of 482928880 is 88829284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482928883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2127327 + ... + 2127553.

It is an arithmetic number, because the mean of its divisors is an integer number (8396784).

Almost surely, 2482928880 is an apocalyptic number.

482928880 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 482928880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671742720).

482928880 is an abundant number, since it is smaller than the sum of its proper divisors (860556560).

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

482928880 is a wasteful number, since it uses less digits than its factorization.

482928880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The square root of 482928880 is about 21975.6428802436. The cubic root of 482928880 is about 784.5628247208.

The spelling of 482928880 in words is "four hundred eighty-two million, nine hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 131 140 145 203 227 232 262 280 290 406 454 464 524 560 580 655 812 908 917 1015 1048 1135 1160 1310 1589 1624 1816 1834 2030 2096 2270 2320 2620 3178 3248 3632 3668 3799 4060 4540 4585 5240 6356 6583 7336 7598 7945 8120 9080 9170 10480 12712 13166 14672 15196 15890 16240 18160 18340 18995 25424 26332 26593 29737 30392 31780 32915 36680 37990 46081 52664 53186 59474 60784 63560 65830 73360 75980 92162 105328 106372 118948 127120 131660 132965 148685 151960 184324 208159 212744 230405 237896 263320 265930 297370 303920 368648 416318 425488 460810 475792 526640 531860 594740 737296 832636 862373 921620 1040795 1063720 1189480 1665272 1724746 1843240 2081590 2127440 2378960 3330544 3449492 3686480 4163180 4311865 6036611 6898984 8326360 8623730 12073222 13797968 16652720 17247460 24146444 30183055 34494920 48292888 60366110 68989840 96585776 120732220 241464440 482928880