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48040160 = 255759727
BaseRepresentation
bin1011011101000…
…0100011100000
310100101200201012
42313100203200
544244241120
64433400052
71122222530
oct267204340
9110350635
1048040160
1125132313
1214109028
139c5033c
1465474c0
15433e1c5
hex2dd08e0

48040160 has 96 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 16169472.

The previous prime is 48040117. The next prime is 48040177. The reversal of 48040160 is 6104084.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 65717 + ... + 66443.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 248040160 is an apocalyptic number.

48040160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

48040160 is an abundant number, since it is smaller than the sum of its proper divisors (84048160).

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

48040160 is a wasteful number, since it uses less digits than its factorization.

48040160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 48040160 is about 6931.1009226529. The cubic root of 48040160 is about 363.5254452614.

The spelling of 48040160 in words is "forty-eight million, forty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 70 80 112 118 140 160 224 236 280 295 413 472 560 590 727 826 944 1120 1180 1454 1652 1888 2065 2360 2908 3304 3635 4130 4720 5089 5816 6608 7270 8260 9440 10178 11632 13216 14540 16520 20356 23264 25445 29080 33040 40712 42893 50890 58160 66080 81424 85786 101780 116320 162848 171572 203560 214465 300251 343144 407120 428930 600502 686288 814240 857860 1201004 1372576 1501255 1715720 2402008 3002510 3431440 4804016 6005020 6862880 9608032 12010040 24020080 48040160