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485434200 = 233522293533
BaseRepresentation
bin11100111011110…
…010001101011000
31020211102121112110
4130323302031120
51443232343300
6120100312320
715013060026
oct3473621530
91224377473
10485434200
1122a018999
121166a26a0
1379755294
1448683716
152c93c550
hex1cef2358

485434200 has 96 divisors (see below), whose sum is σ = 1511845200. Its totient is φ = 128847360.

The previous prime is 485434199. The next prime is 485434207. The reversal of 485434200 is 2434584.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485434207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135634 + ... + 139166.

Almost surely, 2485434200 is an apocalyptic number.

485434200 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 485434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755922600).

485434200 is an abundant number, since it is smaller than the sum of its proper divisors (1026411000).

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

485434200 is a wasteful number, since it uses less digits than its factorization.

485434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 485434200 is about 22032.5713433544. The cubic root of 485434200 is about 785.9171937188.

Adding to 485434200 its reverse (2434584), we get a palindrome (487868784).

The spelling of 485434200 in words is "four hundred eighty-five million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 229 300 458 600 687 916 1145 1374 1832 2290 2748 3435 3533 4580 5496 5725 6870 7066 9160 10599 11450 13740 14132 17175 17665 21198 22900 27480 28264 34350 35330 42396 45800 52995 68700 70660 84792 88325 105990 137400 141320 176650 211980 264975 353300 423960 529950 706600 809057 1059900 1618114 2119800 2427171 3236228 4045285 4854342 6472456 8090570 9708684 12135855 16181140 19417368 20226425 24271710 32362280 40452850 48543420 60679275 80905700 97086840 121358550 161811400 242717100 485434200