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4104544224 = 253117949201
BaseRepresentation
bin1111010010100110…
…0101111111100000
3101121001102110011110
43310221211333200
531401230403344
61515142343320
7203500023144
oct36451457740
911531373143
104104544224
1118169a9910
1296672ab40
135054966c1
142ad1a9224
151905263b9
hexf4a65fe0

4104544224 has 96 divisors (see below), whose sum is σ = 11902947840. Its totient is φ = 1228032000.

The previous prime is 4104544187. The next prime is 4104544229. The reversal of 4104544224 is 4224454014.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4104544191 and 4104544200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104544229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58824 + ... + 108024.

It is an arithmetic number, because the mean of its divisors is an integer number (123989040).

Almost surely, 24104544224 is an apocalyptic number.

4104544224 is a gapful number since it is divisible by the number (44) 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 4104544224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951473920).

4104544224 is an abundant number, since it is smaller than the sum of its proper divisors (7798403616).

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

4104544224 is a wasteful number, since it uses less digits than its factorization.

4104544224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49304 (or 49296 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 4104544224 is about 64066.7169753531. The cubic root of 4104544224 is about 1601.1117564862. Note that the first 3 decimals are identical.

Adding to 4104544224 its reverse (4224454014), we get a palindrome (8328998238).

The spelling of 4104544224 in words is "four billion, one hundred four million, five hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 79 88 96 132 158 176 237 264 316 352 474 528 632 869 948 1056 1264 1738 1896 2528 2607 3476 3792 5214 6952 7584 10428 13904 20856 27808 41712 49201 83424 98402 147603 196804 295206 393608 541211 590412 787216 1082422 1180824 1574432 1623633 2164844 2361648 3247266 3886879 4329688 4723296 6494532 7773758 8659376 11660637 12989064 15547516 17318752 23321274 25978128 31095032 42755669 46642548 51956256 62190064 85511338 93285096 124380128 128267007 171022676 186570192 256534014 342045352 373140384 513068028 684090704 1026136056 1368181408 2052272112 4104544224