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485273600 = 212527677
BaseRepresentation
bin11100111011001…
…011000000000000
31020211010110020022
4130323023000000
51443212223400
6120053033012
715011520560
oct3473130000
91224113208
10485273600
11229a19269
12116625768
13796ca156
1448640da0
152c909b85
hex1cecb000

485273600 has 156 divisors (see below), whose sum is σ = 1377267504. Its totient is φ = 166133760.

The previous prime is 485273587. The next prime is 485273609. The reversal of 485273600 is 6372584.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (485273609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 716462 + ... + 717138.

Almost surely, 2485273600 is an apocalyptic number.

485273600 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 485273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688633752).

485273600 is an abundant number, since it is smaller than the sum of its proper divisors (891993904).

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

485273600 is an equidigital number, since it uses as much as digits as its factorization.

485273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 485273600 is about 22028.9264377545. The cubic root of 485273600 is about 785.8305137780.

The spelling of 485273600 in words is "four hundred eighty-five million, two hundred seventy-three thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 677 700 800 896 1024 1120 1280 1354 1400 1600 1792 2048 2240 2560 2708 2800 3200 3385 3584 4096 4480 4739 5120 5416 5600 6400 6770 7168 8960 9478 10240 10832 11200 12800 13540 14336 16925 17920 18956 20480 21664 22400 23695 25600 27080 28672 33850 35840 37912 43328 44800 47390 51200 54160 67700 71680 75824 86656 89600 94780 102400 108320 118475 135400 143360 151648 173312 179200 189560 216640 236950 270800 303296 346624 358400 379120 433280 473900 541600 606592 693248 716800 758240 866560 947800 1083200 1213184 1386496 1516480 1733120 1895600 2166400 2426368 2772992 3032960 3466240 3791200 4332800 4852736 6065920 6932480 7582400 8665600 9705472 12131840 13864960 15164800 17331200 19410944 24263680 30329600 34662400 48527360 60659200 69324800 97054720 121318400 242636800 485273600