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485632080 = 243256710067
BaseRepresentation
bin11100111100100…
…010100001010000
31020211210122222100
4130330202201100
51443310211310
6120104440400
715014542653
oct3474424120
91224718870
10485632080
1122a14362a
12116779100
13797c437b
14486d589a
152c97aec0
hex1cf22850

485632080 has 120 divisors (see below), whose sum is σ = 1655420832. Its totient is φ = 127556352.

The previous prime is 485632079. The next prime is 485632099. The reversal of 485632080 is 80236584.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43207 + ... + 53273.

Almost surely, 2485632080 is an apocalyptic number.

485632080 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 485632080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827710416).

485632080 is an abundant number, since it is smaller than the sum of its proper divisors (1169788752).

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

485632080 is a wasteful number, since it uses less digits than its factorization.

485632080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10153 (or 10144 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 485632080 is about 22037.0615101016. The cubic root of 485632080 is about 786.0239683463.

The spelling of 485632080 in words is "four hundred eighty-five million, six hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 3015 3216 4020 4824 5360 6030 8040 9648 10067 12060 16080 20134 24120 30201 40268 48240 50335 60402 80536 90603 100670 120804 151005 161072 181206 201340 241608 302010 362412 402680 453015 483216 604020 674489 724824 805360 906030 1208040 1348978 1449648 1812060 2023467 2416080 2697956 3372445 3624120 4046934 5395912 6070401 6744890 7248240 8093868 10117335 10791824 12140802 13489780 16187736 20234670 24281604 26979560 30352005 32375472 40469340 48563208 53959120 60704010 80938680 97126416 121408020 161877360 242816040 485632080