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4438066152 = 2331334740993
BaseRepresentation
bin1000010001000011…
…11000001111101000
3102110022000010020110
410020201320033220
533042121104102
62012215054320
7214656640242
oct41041701750
912408003213
104438066152
111978199873
12a3a3713a0
13559600560
143015c7092
151ae95786c
hex1088783e8

4438066152 has 64 divisors (see below), whose sum is σ = 11983366080. Its totient is φ = 1361590272.

The previous prime is 4438066117. The next prime is 4438066153. The reversal of 4438066152 is 2516608344.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4438066152.

It is not an unprimeable number, because it can be changed into a prime (4438066153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87768 + ... + 128760.

It is an arithmetic number, because the mean of its divisors is an integer number (187240095).

Almost surely, 24438066152 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 4438066152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991683040).

4438066152 is an abundant number, since it is smaller than the sum of its proper divisors (7545299928).

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

4438066152 is a wasteful number, since it uses less digits than its factorization.

4438066152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41362 (or 41358 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4438066152 is about 66618.8122980289. The cubic root of 4438066152 is about 1643.3544952499.

The spelling of 4438066152 in words is "four billion, four hundred thirty-eight million, sixty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 347 694 1041 1388 2082 2776 4164 4511 8328 9022 13533 18044 27066 36088 40993 54132 81986 108264 122979 163972 245958 327944 491916 532909 983832 1065818 1598727 2131636 3197454 4263272 6394908 12789816 14224571 28449142 42673713 56898284 85347426 113796568 170694852 184919423 341389704 369838846 554758269 739677692 1109516538 1479355384 2219033076 4438066152