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483804972 = 2232717313643
BaseRepresentation
bin11100110101100…
…100011100101100
31020201100211122200
4130311210130230
51442323224342
6120001341500
714663163060
oct3465443454
91221324580
10483804972
11229105922
12116037890
1379304841
144837baa0
152c71994c
hex1cd6472c

483804972 has 144 divisors (see below), whose sum is σ = 1528031232. Its totient is φ = 125867520.

The previous prime is 483804953. The next prime is 483804983. The reversal of 483804972 is 279408384.

483804972 is a `hidden beast` number, since 4 + 83 + 80 + 497 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130983 + ... + 134625.

It is an arithmetic number, because the mean of its divisors is an integer number (10611328).

Almost surely, 2483804972 is an apocalyptic number.

483804972 is a gapful number since it is divisible by the number (42) 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 483804972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764015616).

483804972 is an abundant number, since it is smaller than the sum of its proper divisors (1044226260).

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

483804972 is a wasteful number, since it uses less digits than its factorization.

483804972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 483804972 is about 21995.5670988497. The cubic root of 483804972 is about 785.0369690624.

The spelling of 483804972 in words is "four hundred eighty-three million, eight hundred four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 217 238 252 279 306 357 372 434 476 527 558 612 651 714 868 1054 1071 1116 1302 1428 1581 1953 2108 2142 2604 3162 3643 3689 3906 4284 4743 6324 7286 7378 7812 9486 10929 11067 14572 14756 18972 21858 22134 25501 32787 33201 43716 44268 51002 61931 65574 66402 76503 102004 112933 123862 131148 132804 153006 185793 225866 229509 247724 306012 338799 371586 433517 451732 459018 557379 677598 743172 790531 867034 918036 1016397 1114758 1300551 1355196 1581062 1734068 1919861 2032794 2229516 2371593 2601102 3162124 3839722 3901653 4065588 4743186 5202204 5759583 7114779 7679444 7803306 9486372 11519166 13439027 14229558 15606612 17278749 23038332 26878054 28459116 34557498 40317081 53756108 69114996 80634162 120951243 161268324 241902486 483804972