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5309894400 = 28352276557
BaseRepresentation
bin1001111000111111…
…01000111100000000
3111201001111120202120
410330133220330000
541333313110100
62234521244240
7245404233456
oct47437507400
914631446676
105309894400
11228532a288
121042333680
13668112165
143852cc9d6
1521126c0a0
hex13c7e8f00

5309894400 has 108 divisors (see below), whose sum is σ = 17523821112. Its totient is φ = 1415966720.

The previous prime is 5309894399. The next prime is 5309894407. The reversal of 5309894400 is 44989035.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5309894407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119079 + ... + 157478.

Almost surely, 25309894400 is an apocalyptic number.

5309894400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5309894400 is an abundant number, since it is smaller than the sum of its proper divisors (12213926712).

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

5309894400 is a wasteful number, since it uses less digits than its factorization.

5309894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276586 (or 276567 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 5309894400 is about 72869.0222248110. The cubic root of 5309894400 is about 1744.5976965477.

The spelling of 5309894400 in words is "five billion, three hundred nine million, eight hundred ninety-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 9600 19200 276557 553114 829671 1106228 1382785 1659342 2212456 2765570 3318684 4148355 4424912 5531140 6637368 6913925 8296710 8849824 11062280 13274736 13827850 16593420 17699648 20741775 22124560 26549472 27655700 33186840 35399296 41483550 44249120 53098944 55311400 66373680 70798592 82967100 88498240 106197888 110622800 132747360 165934200 176996480 212395776 221245600 265494720 331868400 353992960 442491200 530989440 663736800 884982400 1061978880 1327473600 1769964800 2654947200 5309894400