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4437999872 = 28179710513
BaseRepresentation
bin1000010001000011…
…01000000100000000
3102110021212202022122
410020201220010000
533042111443442
62012213423412
7214656243065
oct41041500400
912407782278
104437999872
111978153a99
12a3a33ab68
135595a9337
143015aac6c
151ae942dd2
hex108868100

4437999872 has 72 divisors (see below), whose sum is σ = 9477361656. Its totient is φ = 2066743296.

The previous prime is 4437999871. The next prime is 4437999899. The reversal of 4437999872 is 2789997344.

It can be written as a sum of positive squares in 4 ways, for example, as 73547776 + 4364452096 = 8576^2 + 66064^2 .

It is not an unprimeable number, because it can be changed into a prime (4437999871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416888 + ... + 427400.

It is an arithmetic number, because the mean of its divisors is an integer number (131630023).

Almost surely, 24437999872 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 4437999872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738680828).

4437999872 is an abundant number, since it is smaller than the sum of its proper divisors (5039361784).

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

4437999872 is a wasteful number, since it uses less digits than its factorization.

4437999872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10643 (or 10629 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 62.

The square root of 4437999872 is about 66618.3148390891. The cubic root of 4437999872 is about 1643.3463143535.

The spelling of 4437999872 in words is "four billion, four hundred thirty-seven million, nine hundred ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 128 136 194 256 272 388 544 776 1088 1552 1649 2176 3104 3298 4352 6208 6596 10513 12416 13192 21026 24832 26384 42052 52768 84104 105536 168208 178721 211072 336416 357442 422144 672832 714884 1019761 1345664 1429768 2039522 2691328 2859536 4079044 5719072 8158088 11438144 16316176 17335937 22876288 32632352 34671874 45752576 65264704 69343748 130529408 138687496 261058816 277374992 554749984 1109499968 2218999936 4437999872