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48000040 = 2351143259
BaseRepresentation
bin1011011100011…
…0110000101000
310100022122200021
42313012300220
544242000130
64432450224
71121664544
oct267066050
9110278607
1048000040
1125105160
12140a9974
139c37cba
146536a24
15433237a
hex2dc6c28

48000040 has 96 divisors (see below), whose sum is σ = 122666400. Its totient is φ = 16759680.

The previous prime is 48000013. The next prime is 48000041. The reversal of 48000040 is 4000084.

It is a junction number, because it is equal to n+sod(n) for n = 47999978 and 48000023.

It is not an unprimeable number, because it can be changed into a prime (48000041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813531 + ... + 813589.

It is an arithmetic number, because the mean of its divisors is an integer number (1277775).

Almost surely, 248000040 is an apocalyptic number.

48000040 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 48000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61333200).

48000040 is an abundant number, since it is smaller than the sum of its proper divisors (74666360).

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

48000040 is a wasteful number, since it uses less digits than its factorization.

48000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 48000040 is about 6928.2061170263. The cubic root of 48000040 is about 363.4242195175.

The spelling of 48000040 in words is "forty-eight million, forty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 59 86 88 110 118 172 215 220 236 295 344 430 440 472 473 590 649 860 946 1180 1298 1720 1849 1892 2360 2365 2537 2596 3245 3698 3784 4730 5074 5192 6490 7396 9245 9460 10148 12685 12980 14792 18490 18920 20296 20339 25370 25960 27907 36980 40678 50740 55814 73960 81356 101480 101695 109091 111628 139535 162712 203390 218182 223256 279070 406780 436364 545455 558140 813560 872728 1090910 1116280 1200001 2181820 2400002 4363640 4800004 6000005 9600008 12000010 24000020 48000040