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485635248 = 243272320947
BaseRepresentation
bin11100111100100…
…011010010110000
31020211210211022200
4130330203102300
51443310311443
6120104503200
715014555130
oct3474432260
91224724280
10485635248
1122a145a4a
1211677ab00
13797c5947
14486d6ac0
152c97bdd3
hex1cf234b0

485635248 has 120 divisors (see below), whose sum is σ = 1620872448. Its totient is φ = 132713856.

The previous prime is 485635219. The next prime is 485635259. The reversal of 485635248 is 842536584.

485635248 is a `hidden beast` number, since 4 + 8 + 5 + 635 + 2 + 4 + 8 = 666.

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, 12711 + ... + 33657.

Almost surely, 2485635248 is an apocalyptic number.

485635248 is a gapful number since it is divisible by the number (48) 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 485635248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810436224).

485635248 is an abundant number, since it is smaller than the sum of its proper divisors (1135237200).

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

485635248 is a wasteful number, since it uses less digits than its factorization.

485635248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20991 (or 20982 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 485635248 is about 22037.1333888961. The cubic root of 485635248 is about 786.0256775404.

It can be divided in two parts, 4856 and 35248, that added together give a palindrome (40104).

The spelling of 485635248 in words is "four hundred eighty-five million, six hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 11592 20947 23184 41894 62841 83788 125682 146629 167576 188523 251364 293258 335152 377046 439887 481781 502728 586516 754092 879774 963562 1005456 1173032 1319661 1445343 1508184 1759548 1927124 2346064 2639322 2890686 3016368 3372467 3519096 3854248 4336029 5278644 5781372 6744934 7038192 7708496 8672058 10117401 10557288 11562744 13489868 17344116 20234802 21114576 23125488 26979736 30352203 34688232 40469604 53959472 60704406 69376464 80939208 121408812 161878416 242817624 485635248