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48488444400 = 24352113673367
BaseRepresentation
bin101101001010001000…
…101111000111110000
311122011020120012011010
4231022020233013300
51243301020210100
634135243350520
73334405656054
oct551210570760
9148136505133
1048488444400
111962250aa50
129492822440
134759862b26
1424bda9dc64
1513dbd16750
hexb4a22f1f0

48488444400 has 120 divisors (see below), whose sum is σ = 169445119104. Its totient is φ = 11754771200.

The previous prime is 48488444371. The next prime is 48488444413. The reversal of 48488444400 is 444488484.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×484884444002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48488444400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1823484 + ... + 1849883.

Almost surely, 248488444400 is an apocalyptic number.

48488444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48488444400 is an abundant number, since it is smaller than the sum of its proper divisors (120956674704).

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

48488444400 is a wasteful number, since it uses less digits than its factorization.

48488444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673399 (or 3673388 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 48488444400 in words is "forty-eight billion, four hundred eighty-eight million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 3673367 7346734 11020101 14693468 18366835 22040202 29386936 36733670 40407037 44080404 55100505 58773872 73467340 80814074 88160808 91834175 110201010 121221111 146934680 161628148 176321616 183668350 202035185 220402020 242442222 275502525 293869360 323256296 367336700 404070370 440804040 484884444 551005050 606105555 646512592 734673400 808140740 881608080 969768888 1010175925 1102010100 1212211110 1469346800 1616281480 1939537776 2020351850 2204020200 2424422220 3030527775 3232562960 4040703700 4408040400 4848844440 6061055550 8081407400 9697688880 12122111100 16162814800 24244222200 48488444400