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485029920 = 25352114789
BaseRepresentation
bin11100111010001…
…111100000100000
31020210200001222010
4130322033200200
51443131424140
6120043512520
715006454254
oct3472174040
91223601863
10485029920
11229872181
12116528740
137964326b
14485ba264
152c8ac880
hex1ce8f820

485029920 has 96 divisors (see below), whose sum is σ = 1535405760. Its totient is φ = 128701440.

The previous prime is 485029913. The next prime is 485029943. The reversal of 485029920 is 29920584.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 98886 + ... + 103674.

It is an arithmetic number, because the mean of its divisors is an integer number (15993810).

Almost surely, 2485029920 is an apocalyptic number.

485029920 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 485029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767702880).

485029920 is an abundant number, since it is smaller than the sum of its proper divisors (1050375840).

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

485029920 is a wasteful number, since it uses less digits than its factorization.

485029920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 485029920 is about 22023.3948336763. The cubic root of 485029920 is about 785.6989568989.

The spelling of 485029920 in words is "four hundred eighty-five million, twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 211 240 422 480 633 844 1055 1266 1688 2110 2532 3165 3376 4220 4789 5064 6330 6752 8440 9578 10128 12660 14367 16880 19156 20256 23945 25320 28734 33760 38312 47890 50640 57468 71835 76624 95780 101280 114936 143670 153248 191560 229872 287340 383120 459744 574680 766240 1010479 1149360 2020958 2298720 3031437 4041916 5052395 6062874 8083832 10104790 12125748 15157185 16167664 20209580 24251496 30314370 32335328 40419160 48502992 60628740 80838320 97005984 121257480 161676640 242514960 485029920