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484211916 = 2232233791543
BaseRepresentation
bin11100110111000…
…111110011001100
31020202010111212200
4130313013303030
51442424240131
6120014201500
714666506356
oct3467076314
91222114780
10484211916
11229363641
121161b3290
1379417b36
14484460d6
152c79a2e6
hex1cdc7ccc

484211916 has 72 divisors (see below), whose sum is σ = 1281396480. Its totient is φ = 153879264.

The previous prime is 484211891. The next prime is 484211953. The reversal of 484211916 is 619112484.

484211916 is a `hidden beast` number, since 48 + 421 + 191 + 6 = 666.

It is a super-2 number, since 2×4842119162 = 468922359192782112, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 313041 + ... + 314583.

Almost surely, 2484211916 is an apocalyptic number.

484211916 is a gapful number since it is divisible by the number (46) 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 484211916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640698240).

484211916 is an abundant number, since it is smaller than the sum of its proper divisors (797184564).

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

484211916 is a wasteful number, since it uses less digits than its factorization.

484211916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1950 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 484211916 is about 22004.8157456499. The cubic root of 484211916 is about 785.2570140347.

The spelling of 484211916 in words is "four hundred eighty-four million, two hundred eleven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 379 414 758 828 1137 1516 1543 2274 3086 3411 4548 4629 6172 6822 8717 9258 13644 13887 17434 18516 26151 27774 34868 35489 52302 55548 70978 78453 104604 106467 141956 156906 212934 313812 319401 425868 584797 638802 1169594 1277604 1754391 2339188 3508782 5263173 7017564 10526346 13450331 21052692 26900662 40350993 53801324 80701986 121052979 161403972 242105958 484211916