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4123024224 = 253113904379
BaseRepresentation
bin1111010111000000…
…0101101101100000
3101122100012022221220
43311300011231200
531420443233344
61521042415040
7204113061534
oct36560055540
911570168856
104123024224
111826381140
12970961480
13509267007
142b1819bc4
15191e76c19
hexf5c05b60

4123024224 has 48 divisors (see below), whose sum is σ = 11806845120. Its totient is φ = 1249400960.

The previous prime is 4123024207. The next prime is 4123024237. The reversal of 4123024224 is 4224203214.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4123024194 and 4123024203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1951134 + ... + 1953245.

It is an arithmetic number, because the mean of its divisors is an integer number (245975940).

Almost surely, 24123024224 is an apocalyptic number.

4123024224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4123024224 is an abundant number, since it is smaller than the sum of its proper divisors (7683820896).

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

4123024224 is a wasteful number, since it uses less digits than its factorization.

4123024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904403 (or 3904395 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4123024224 is about 64210.7796557556. The cubic root of 4123024224 is about 1603.5110687784.

Adding to 4123024224 its reverse (4224203214), we get a palindrome (8347227438).

The spelling of 4123024224 in words is "four billion, one hundred twenty-three million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3904379 7808758 11713137 15617516 23426274 31235032 42948169 46852548 62470064 85896338 93705096 124940128 128844507 171792676 187410192 257689014 343585352 374820384 515378028 687170704 1030756056 1374341408 2061512112 4123024224