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5474520100 = 2252741512
BaseRepresentation
bin1010001100100111…
…01000110000100100
3112010112021102202201
411012103220300210
542202434120400
62303121544244
7252443440000
oct50623506044
915115242681
105474520100
11235a250a85
1210894a5084
1369326220a
1439d103700
1522093a06a
hex1464e8c24

5474520100 has 135 divisors (see below), whose sum is σ = 13951223601. Its totient is φ = 1864548000.

The previous prime is 5474520089. The next prime is 5474520109. The reversal of 5474520100 is 10254745.

The square root of 5474520100 is 73990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1970827236 + 3503692864 = 44394^2 + 59192^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (5474520109) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 36255025 + ... + 36255175.

Almost surely, 25474520100 is an apocalyptic number.

5474520100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5474520100 is the 73990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5474520100

5474520100 is an abundant number, since it is smaller than the sum of its proper divisors (8476703501).

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

5474520100 is an equidigital number, since it uses as much as digits as its factorization.

5474520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The cubic root of 5474520100 is about 1762.4441013072. Note that the first 3 decimals are identical.

Adding to 5474520100 its reverse (10254745), we get a palindrome (5484774845).

The spelling of 5474520100 in words is "five billion, four hundred seventy-four million, five hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 151 175 196 245 302 343 350 490 604 686 700 755 980 1057 1225 1372 1510 1715 2114 2401 2450 3020 3430 3775 4228 4802 4900 5285 6860 7399 7550 8575 9604 10570 12005 14798 15100 17150 21140 22801 24010 26425 29596 34300 36995 45602 48020 51793 52850 60025 73990 91204 103586 105700 114005 120050 147980 159607 184975 207172 228010 240100 258965 319214 362551 369950 456020 517930 570025 638428 725102 739900 798035 1035860 1117249 1140050 1294825 1450204 1596070 1812755 2234498 2280100 2589650 3192140 3625510 3990175 4468996 5179300 5586245 7251020 7820743 7980350 9063775 11172490 15641486 15960700 18127550 22344980 27931225 31282972 36255100 39103715 54745201 55862450 78207430 109490402 111724900 156414860 195518575 218980804 273726005 391037150 547452010 782074300 1094904020 1368630025 2737260050 5474520100