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484535952 = 24333197373
BaseRepresentation
bin11100111000010…
…110111010010000
31020202201222101000
4130320112322100
51443020122302
6120025142000
715002326155
oct3470267220
91222658330
10484535952
1122956503a
1211632a900
13794cc484
14484cc22c
152c81131c
hex1ce16e90

484535952 has 160 divisors (see below), whose sum is σ = 1454351360. Its totient is φ = 154275840.

The previous prime is 484535927. The next prime is 484535959. The reversal of 484535952 is 259535484.

484535952 is a `hidden beast` number, since 4 + 8 + 4 + 53 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 484535898 and 484535907.

It is not an unprimeable number, because it can be changed into a prime (484535959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1298838 + ... + 1299210.

It is an arithmetic number, because the mean of its divisors is an integer number (9089696).

Almost surely, 2484535952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484535952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727175680).

484535952 is an abundant number, since it is smaller than the sum of its proper divisors (969815408).

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

484535952 is a wasteful number, since it uses less digits than its factorization.

484535952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 484535952 is about 22012.1773570903. The cubic root of 484535952 is about 785.4321403892.

The spelling of 484535952 in words is "four hundred eighty-four million, five hundred thirty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 97 108 124 144 186 194 216 248 279 291 372 373 388 432 496 558 582 744 746 776 837 873 1116 1119 1164 1488 1492 1552 1674 1746 2232 2238 2328 2619 2984 3007 3348 3357 3492 4464 4476 4656 5238 5968 6014 6696 6714 6984 8952 9021 10071 10476 11563 12028 13392 13428 13968 17904 18042 20142 20952 23126 24056 26856 27063 34689 36084 36181 40284 41904 46252 48112 53712 54126 69378 72168 72362 80568 81189 92504 104067 108252 108543 138756 144336 144724 161136 162378 185008 208134 216504 217086 277512 289448 312201 324756 325629 416268 433008 434172 555024 578896 624402 649512 651258 832536 868344 976887 1121611 1248804 1299024 1302516 1665072 1736688 1953774 2243222 2497608 2605032 3364833 3907548 4486444 4995216 5210064 6729666 7815096 8972888 10094499 13459332 15630192 17945776 20188998 26918664 30283497 40377996 53837328 60566994 80755992 121133988 161511984 242267976 484535952