Search a number
-
+
5544000504 = 233378294423
BaseRepresentation
bin1010010100111001…
…01011101111111000
3112022101000101222000
411022130223233320
542323231004004
62314043101000
7254246140530
oct51234535770
915271011860
105544000504
1123954976a9
1210a8811760
136a477b393
143a842c4c0
15226ab1c39
hex14a72bbf8

5544000504 has 128 divisors (see below), whose sum is σ = 17625216000. Its totient is φ = 1581731712.

The previous prime is 5544000503. The next prime is 5544000529. The reversal of 5544000504 is 4050004455.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5544000503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1251237 + ... + 1255659.

It is an arithmetic number, because the mean of its divisors is an integer number (137697000).

Almost surely, 25544000504 is an apocalyptic number.

5544000504 is a gapful number since it is divisible by the number (54) 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 5544000504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812608000).

5544000504 is an abundant number, since it is smaller than the sum of its proper divisors (12081215496).

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

5544000504 is a wasteful number, since it uses less digits than its factorization.

5544000504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 5544000504 is about 74458.0452604015. The cubic root of 5544000504 is about 1769.8688555520.

Adding to 5544000504 its reverse (4050004455), we get a palindrome (9594004959).

The spelling of 5544000504 in words is "five billion, five hundred forty-four million, five hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 829 1512 1658 2487 3316 4423 4974 5803 6632 7461 8846 9948 11606 13269 14922 17409 17692 19896 22383 23212 26538 29844 30961 34818 35384 39807 44766 46424 52227 53076 59688 61922 69636 79614 89532 92883 104454 106152 119421 123844 139272 156681 159228 179064 185766 208908 238842 247688 278649 313362 318456 371532 417816 477684 557298 626724 743064 835947 955368 1114596 1253448 1671894 2229192 3343788 3666667 6687576 7333334 11000001 14666668 22000002 25666669 29333336 33000003 44000004 51333338 66000006 77000007 88000008 99000009 102666676 132000012 154000014 198000018 205333352 231000021 264000024 308000028 396000036 462000042 616000056 693000063 792000072 924000084 1386000126 1848000168 2772000252 5544000504