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1882752016 = 24317948049
BaseRepresentation
bin111000000111000…
…1000010000010000
311212012201201020011
41300032020100100
512323441031031
6510453524304
764441061635
oct16016102020
94765651204
101882752016
11886845502
12446643694
132400a4c62
1413c09818c
15b04526b1
hex70388410

1882752016 has 40 divisors (see below), whose sum is σ = 3813248000. Its totient is φ = 899458560.

The previous prime is 1882751999. The next prime is 1882752017. The reversal of 1882752016 is 6102572881.

It is a self number, because there is not a number n which added to its sum of digits gives 1882752016.

It is not an unprimeable number, because it can be changed into a prime (1882752017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15160 + ... + 63208.

It is an arithmetic number, because the mean of its divisors is an integer number (95331200).

Almost surely, 21882752016 is an apocalyptic number.

1882752016 is a gapful number since it is divisible by the number (16) 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 1882752016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906624000).

1882752016 is an abundant number, since it is smaller than the sum of its proper divisors (1930495984).

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

1882752016 is a wasteful number, since it uses less digits than its factorization.

1882752016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48167 (or 48161 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 1882752016 is about 43390.6904300911. The cubic root of 1882752016 is about 1234.8030885825.

The spelling of 1882752016 in words is "one billion, eight hundred eighty-two million, seven hundred fifty-two thousand, sixteen".

Divisors: 1 2 4 8 16 31 62 79 124 158 248 316 496 632 1264 2449 4898 9796 19592 39184 48049 96098 192196 384392 768784 1489519 2979038 3795871 5958076 7591742 11916152 15183484 23832304 30366968 60733936 117672001 235344002 470688004 941376008 1882752016