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48208720 = 2457312777
BaseRepresentation
bin1011011111100…
…1101101010000
310100201020221011
42313321231100
544320134340
64441140304
71123524130
oct267715520
9110636834
1048208720
1125237a1a
121418a694
139cabc91
14658cac0
1543740ea
hex2df9b50

48208720 has 80 divisors (see below), whose sum is σ = 132277248. Its totient is φ = 15989760.

The previous prime is 48208697. The next prime is 48208733. The reversal of 48208720 is 2780284.

48208720 = T169 + T170 + ... + T664.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15972 + ... + 18748.

Almost surely, 248208720 is an apocalyptic number.

48208720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48208720 is the 3472-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48208720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66138624).

48208720 is an abundant number, since it is smaller than the sum of its proper divisors (84068528).

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

48208720 is a wasteful number, since it uses less digits than its factorization.

48208720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 48208720 is about 6943.2499594930. The cubic root of 48208720 is about 363.9501199614.

The spelling of 48208720 in words is "forty-eight million, two hundred eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 2777 3472 4340 5554 8680 11108 13885 17360 19439 22216 27770 38878 44432 55540 77756 86087 97195 111080 155512 172174 194390 222160 311024 344348 388780 430435 602609 688696 777560 860870 1205218 1377392 1555120 1721740 2410436 3013045 3443480 4820872 6026090 6886960 9641744 12052180 24104360 48208720