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48020040 = 2334514821
BaseRepresentation
bin1011011100101…
…1101001001000
310100100200010000
42313023221020
544243120130
64433123000
71122110055
oct267135110
9110320100
1048020040
1125119192
12140b9460
139c44133
14654002c
154338260
hex2dcba48

48020040 has 80 divisors (see below), whose sum is σ = 161411580. Its totient is φ = 12804480.

The previous prime is 48020029. The next prime is 48020051. The reversal of 48020040 is 4002084.

It is a happy number.

48020040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48020029) and next prime (48020051).

It can be written as a sum of positive squares in 2 ways, for example, as 47527236 + 492804 = 6894^2 + 702^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 48019995 and 48020022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4171 + ... + 10650.

Almost surely, 248020040 is an apocalyptic number.

48020040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48020040 is an abundant number, since it is smaller than the sum of its proper divisors (113391540).

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

48020040 is a wasteful number, since it uses less digits than its factorization.

48020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14844 (or 14831 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 48020040 is about 6929.6493417777. The cubic root of 48020040 is about 363.4746880527.

The spelling of 48020040 in words is "forty-eight million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 14821 29642 44463 59284 74105 88926 118568 133389 148210 177852 222315 266778 296420 355704 400167 444630 533556 592840 666945 800334 889260 1067112 1200501 1333890 1600668 1778520 2000835 2401002 2667780 3201336 4001670 4802004 5335560 6002505 8003340 9604008 12005010 16006680 24010020 48020040