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485322880 = 2757127853
BaseRepresentation
bin11100111011010…
…111000010000000
31020211012221211111
4130323113002000
51443220313010
6120054053104
715012114340
oct3473270200
91224187744
10485322880
11229a52299
1211664a194
1379716703
1448654d20
152c91958a
hex1ced7080

485322880 has 128 divisors (see below), whose sum is σ = 1337978880. Its totient is φ = 164892672.

The previous prime is 485322797. The next prime is 485322881. The reversal of 485322880 is 88223584.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (485322881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 568534 + ... + 569386.

It is an arithmetic number, because the mean of its divisors is an integer number (10452960).

Almost surely, 2485322880 is an apocalyptic number.

485322880 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 485322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668989440).

485322880 is an abundant number, since it is smaller than the sum of its proper divisors (852656000).

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

485322880 is a wasteful number, since it uses less digits than its factorization.

485322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 485322880 is about 22030.0449386741. The cubic root of 485322880 is about 785.8571134920.

The spelling of 485322880 in words is "four hundred eighty-five million, three hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 128 140 160 224 254 280 320 448 508 560 635 640 853 889 896 1016 1120 1270 1706 1778 2032 2240 2540 3412 3556 4064 4265 4445 4480 5080 5971 6824 7112 8128 8530 8890 10160 11942 13648 14224 16256 17060 17780 20320 23884 27296 28448 29855 34120 35560 40640 47768 54592 56896 59710 68240 71120 81280 95536 108331 109184 113792 119420 136480 142240 191072 216662 238840 272960 284480 382144 433324 477680 541655 545920 568960 758317 764288 866648 955360 1083310 1516634 1733296 1910720 2166620 3033268 3466592 3791585 3821440 4333240 6066536 6933184 7583170 8666480 12133072 13866368 15166340 17332960 24266144 30332680 34665920 48532288 60665360 69331840 97064576 121330720 242661440 485322880