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485976150 = 2325211313167
BaseRepresentation
bin11100111101110…
…110100001010110
31020212110010221200
4130331312201112
51443402214100
6120120053330
715020505042
oct3475664126
91225403850
10485976150
1122a359090
12116904246
13798b4b6a
1448785022
152c9e7e00
hex1cf76856

485976150 has 144 divisors (see below), whose sum is σ = 1470763008. Its totient is φ = 113976000.

The previous prime is 485976149. The next prime is 485976151. The reversal of 485976150 is 51679584.

485976150 is a `hidden beast` number, since 4 + 8 + 597 + 6 + 1 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (485976149) and next prime (485976151).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 485976096 and 485976105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485976151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151867 + ... + 155033.

It is an arithmetic number, because the mean of its divisors is an integer number (10213632).

Almost surely, 2485976150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485976150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735381504).

485976150 is an abundant number, since it is smaller than the sum of its proper divisors (984786858).

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

485976150 is a wasteful number, since it uses less digits than its factorization.

485976150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 485976150 is about 22044.8667494272. The cubic root of 485976150 is about 786.2095570066.

The spelling of 485976150 in words is "four hundred eighty-five million, nine hundred seventy-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 31 33 45 50 55 62 66 75 90 93 99 110 150 155 165 186 198 225 275 279 310 330 341 450 465 495 550 558 682 775 825 930 990 1023 1395 1550 1650 1705 2046 2325 2475 2790 3069 3167 3410 4650 4950 5115 6138 6334 6975 8525 9501 10230 13950 15345 15835 17050 19002 25575 28503 30690 31670 34837 47505 51150 57006 69674 76725 79175 95010 98177 104511 142515 153450 158350 174185 196354 209022 237525 285030 294531 313533 348370 475050 490885 522555 589062 627066 712575 870925 883593 981770 1045110 1079947 1425150 1472655 1567665 1741850 1767186 2159894 2454425 2612775 2945310 3135330 3239841 4417965 4908850 5225550 5399735 6479682 7363275 7838325 8835930 9719523 10799470 14726550 15676650 16199205 19439046 22089825 26998675 32398410 44179650 48597615 53997350 80996025 97195230 161992050 242988075 485976150