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4427993472 = 273719277313
BaseRepresentation
bin1000001111110110…
…11101000110000000
3102102121001101010020
410013323131012000
533032031242342
62011215133440
7214505215650
oct40773350600
912377041106
104427993472
11197253a041
12a36b14280
135574b48a6
14300124360
151adb180ec
hex107edd180

4427993472 has 256 divisors, whose sum is σ = 14246054400. Its totient is φ = 1190412288.

The previous prime is 4427993467. The next prime is 4427993489. The reversal of 4427993472 is 2743997244.

It is a super-2 number, since 2×44279934722 = 39214252376149229568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14146788 + ... + 14147100.

It is an arithmetic number, because the mean of its divisors is an integer number (55648650).

Almost surely, 24427993472 is an apocalyptic number.

4427993472 is a gapful number since it is divisible by the number (42) 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 4427993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7123027200).

4427993472 is an abundant number, since it is smaller than the sum of its proper divisors (9818060928).

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

4427993472 is a wasteful number, since it uses less digits than its factorization.

4427993472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 621 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The square root of 4427993472 is about 66543.1699876103. The cubic root of 4427993472 is about 1642.1102954758.

The spelling of 4427993472 in words is "four billion, four hundred twenty-seven million, nine hundred ninety-three thousand, four hundred seventy-two".