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4430253924 = 2232177238977
BaseRepresentation
bin1000010000001000…
…00100111101100100
3102102202022012212200
410020010010331210
533033121111144
62011335414500
7214533352125
oct41004047544
912382265780
104430253924
111973843388
12a37824430
13557ac6735
1430055204c
151ade12c69
hex108104f64

4430253924 has 36 divisors (see below), whose sum is σ = 11857445964. Its totient is φ = 1389883392.

The previous prime is 4430253913. The next prime is 4430253967. The reversal of 4430253924 is 4293520344.

It can be written as a sum of positive squares in 2 ways, for example, as 1918440000 + 2511813924 = 43800^2 + 50118^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×44302539242 = 39254299662234795552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3618877 + ... + 3620100.

It is an arithmetic number, because the mean of its divisors is an integer number (329373499).

Almost surely, 24430253924 is an apocalyptic number.

It is an amenable number.

4430253924 is an abundant number, since it is smaller than the sum of its proper divisors (7427192040).

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

4430253924 is a wasteful number, since it uses less digits than its factorization.

4430253924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7239004 (or 7238999 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4430253924 is about 66560.1526741037. The cubic root of 4430253924 is about 1642.3896755962.

The spelling of 4430253924 in words is "four billion, four hundred thirty million, two hundred fifty-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 7238977 14477954 21716931 28955908 43433862 65150793 86867724 123062609 130301586 246125218 260603172 369187827 492250436 738375654 1107563481 1476751308 2215126962 4430253924