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4309873920 = 28345113779
BaseRepresentation
bin1000000001110001…
…10111010100000000
3102010100210021120000
410000320313110000
532311311431140
61551355320000
7211542216042
oct40070672400
912110707500
104309873920
1119118a2080
12a03450000
13538b98871
142cc577a92
151a3584a30
hex100e37500

4309873920 has 360 divisors, whose sum is σ = 16827924960. Its totient is φ = 1044541440.

The previous prime is 4309873913. The next prime is 4309873927. The reversal of 4309873920 is 293789034.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4309873913) and next prime (4309873927).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4309873927) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1138591 + ... + 1142369.

It is an arithmetic number, because the mean of its divisors is an integer number (46744236).

Almost surely, 24309873920 is an apocalyptic number.

4309873920 is a gapful number since it is divisible by the number (40) 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 4309873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8413962480).

4309873920 is an abundant number, since it is smaller than the sum of its proper divisors (12518051040).

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

4309873920 is a wasteful number, since it uses less digits than its factorization.

4309873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4309873920 is about 65649.6300065735. The cubic root of 4309873920 is about 1627.3770554200.

The spelling of 4309873920 in words is "four billion, three hundred nine million, eight hundred seventy-three thousand, nine hundred twenty".