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485141328 = 243272112281
BaseRepresentation
bin11100111010101…
…010101101010000
31020210212201210100
4130322222231100
51443144010303
6120050132400
715010430130
oct3472525520
91223781710
10485141328
11229938951
12116581100
1379681b99
1448608ac0
152c8d08a3
hex1ceaab50

485141328 has 120 divisors (see below), whose sum is σ = 1559719616. Its totient is φ = 137894400.

The previous prime is 485141311. The next prime is 485141347. The reversal of 485141328 is 823141584.

485141328 is a `hidden beast` number, since 4 + 8 + 514 + 132 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 485141292 and 485141301.

It is a congruent number.

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, 211548 + ... + 213828.

Almost surely, 2485141328 is an apocalyptic number.

485141328 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 485141328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779859808).

485141328 is an abundant number, since it is smaller than the sum of its proper divisors (1074578288).

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

485141328 is a wasteful number, since it uses less digits than its factorization.

485141328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2504 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 485141328 is about 22025.9239987793. The cubic root of 485141328 is about 785.7591088227.

The spelling of 485141328 in words is "four hundred eighty-five million, one hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 211 252 336 422 504 633 844 1008 1266 1477 1688 1899 2281 2532 2954 3376 3798 4431 4562 5064 5908 6843 7596 8862 9124 10128 11816 13293 13686 15192 15967 17724 18248 20529 23632 26586 27372 30384 31934 35448 36496 41058 47901 53172 54744 63868 70896 82116 95802 106344 109488 127736 143703 164232 191604 212688 255472 287406 328464 383208 481291 574812 766416 962582 1149624 1443873 1925164 2299248 2887746 3369037 3850328 4331619 5775492 6738074 7700656 8663238 10107111 11550984 13476148 17326476 20214222 23101968 26952296 30321333 34652952 40428444 53904592 60642666 69305904 80856888 121285332 161713776 242570664 485141328