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5376514400 = 255237181639
BaseRepresentation
bin1010000000111011…
…10001100101100000
3111212200212020012222
411000131301211200
542002341430100
62245301210212
7250143422045
oct50035614540
914780766188
105376514400
1123099a1934
121060700968
13678b6938a
143900b11cc
1521702b485
hex140771960

5376514400 has 72 divisors (see below), whose sum is σ = 13480230960. Its totient is φ = 2092469760.

The previous prime is 5376514387. The next prime is 5376514411. The reversal of 5376514400 is 44156735.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61220 + ... + 120419.

It is an arithmetic number, because the mean of its divisors is an integer number (187225430).

Almost surely, 25376514400 is an apocalyptic number.

5376514400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5376514400 is an abundant number, since it is smaller than the sum of its proper divisors (8103716560).

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

5376514400 is a wasteful number, since it uses less digits than its factorization.

5376514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181696 (or 181683 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 5376514400 is about 73324.7188879712. The cubic root of 5376514400 is about 1751.8635278003.

The spelling of 5376514400 in words is "five billion, three hundred seventy-six million, five hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 148 160 185 200 296 370 400 592 740 800 925 1184 1480 1850 2960 3700 5920 7400 14800 29600 181639 363278 726556 908195 1453112 1816390 2906224 3632780 4540975 5812448 6720643 7265560 9081950 13441286 14531120 18163900 26882572 29062240 33603215 36327800 53765144 67206430 72655600 107530288 134412860 145311200 168016075 215060576 268825720 336032150 537651440 672064300 1075302880 1344128600 2688257200 5376514400