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48709800 = 23325227061
BaseRepresentation
bin1011100111010…
…0000010101000
310101122201021200
42321310002220
544432203200
64500004200
71131012036
oct271640250
9111581250
1048709800
112554a437
1214390660
13a126089
14667d556
154422800
hex2e740a8

48709800 has 72 divisors (see below), whose sum is σ = 163589790. Its totient is φ = 12988800.

The previous prime is 48709799. The next prime is 48709807. The reversal of 48709800 is 890784.

It can be written as a sum of positive squares in 3 ways, for example, as 26071236 + 22638564 = 5106^2 + 4758^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48709807) 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 17 ways as a sum of consecutive naturals, for example, 11731 + ... + 15330.

Almost surely, 248709800 is an apocalyptic number.

48709800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48709800 is an abundant number, since it is smaller than the sum of its proper divisors (114879990).

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

48709800 is a wasteful number, since it uses less digits than its factorization.

48709800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27083 (or 27071 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 48709800 is about 6979.2406463741. The cubic root of 48709800 is about 365.2067384500.

The spelling of 48709800 in words is "forty-eight million, seven hundred nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 27061 54122 81183 108244 135305 162366 216488 243549 270610 324732 405915 487098 541220 649464 676525 811830 974196 1082440 1217745 1353050 1623660 1948392 2029575 2435490 2706100 3247320 4059150 4870980 5412200 6088725 8118300 9741960 12177450 16236600 24354900 48709800