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485633600 = 2652319791
BaseRepresentation
bin11100111100100…
…010111001000000
31020211210202001122
4130330202321000
51443310233400
6120104451412
715014550254
oct3474427100
91224722048
10485633600
1122a144791
12116779b68
13797c4c7a
14486d6264
152c97b685
hex1cf22e40

485633600 has 84 divisors (see below), whose sum is σ = 1233635328. Its totient is φ = 187968000.

The previous prime is 485633593. The next prime is 485633633. The reversal of 485633600 is 6336584.

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 11 ways as a sum of consecutive naturals, for example, 44705 + ... + 54495.

Almost surely, 2485633600 is an apocalyptic number.

485633600 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 485633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616817664).

485633600 is an abundant number, since it is smaller than the sum of its proper divisors (748001728).

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

485633600 is a wasteful number, since it uses less digits than its factorization.

485633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9844 (or 9829 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 485633600 is about 22037.0959974312. The cubic root of 485633600 is about 786.0247884151.

The spelling of 485633600 in words is "four hundred eighty-five million, six hundred thirty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 155 160 200 248 310 320 400 496 620 775 800 992 1240 1550 1600 1984 2480 3100 4960 6200 9791 9920 12400 19582 24800 39164 48955 49600 78328 97910 156656 195820 244775 303521 313312 391640 489550 607042 626624 783280 979100 1214084 1517605 1566560 1958200 2428168 3035210 3133120 3916400 4856336 6070420 7588025 7832800 9712672 12140840 15176050 15665600 19425344 24281680 30352100 48563360 60704200 97126720 121408400 242816800 485633600