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4427346924 = 22347112131773
BaseRepresentation
bin1000001111110001…
…11111001111101100
3102102112211112020000
410013320333033230
533031400100144
62011153224300
7214466553660
oct40770771754
912375745200
104427346924
111972138300
12a36862090
13557319510
142dddd68a0
151ada3b769
hex107e3f3ec

4427346924 has 720 divisors, whose sum is σ = 16805726784. Its totient is φ = 985374720.

The previous prime is 4427346901. The next prime is 4427346943. The reversal of 4427346924 is 4296437244.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1161216) is a multiple of the sum of its prime divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 4427346924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 60648552 + ... + 60648624.

Almost surely, 24427346924 is an apocalyptic number.

4427346924 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 4427346924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402863392).

4427346924 is an abundant number, since it is smaller than the sum of its proper divisors (12378379860).

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

4427346924 is a wasteful number, since it uses less digits than its factorization.

4427346924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 4427346924 is about 66538.3117008540. The cubic root of 4427346924 is about 1642.0303680163.

The spelling of 4427346924 in words is "four billion, four hundred twenty-seven million, three hundred forty-six thousand, nine hundred twenty-four".