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48388680 = 23325139967
BaseRepresentation
bin1011100010010…
…1101001001000
310101001101210100
42320211221020
544341414210
64445045400
71125203604
oct270455110
9111041710
1048388680
112535014a
1214256860
13a042b72
1465d8504
1543ac5c0
hex2e25a48

48388680 has 96 divisors (see below), whose sum is σ = 158558400. Its totient is φ = 12797568.

The previous prime is 48388667. The next prime is 48388693. The reversal of 48388680 is 8688384.

It is an interprime number because it is at equal distance from previous prime (48388667) and next prime (48388693).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 49557 + ... + 50523.

It is an arithmetic number, because the mean of its divisors is an integer number (1651650).

Almost surely, 248388680 is an apocalyptic number.

48388680 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 48388680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79279200).

48388680 is an abundant number, since it is smaller than the sum of its proper divisors (110169720).

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

48388680 is a wasteful number, since it uses less digits than its factorization.

48388680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 48388680 is about 6956.1972369967. The cubic root of 48388680 is about 364.4024249536.

The spelling of 48388680 in words is "forty-eight million, three hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 967 1112 1251 1390 1668 1934 2085 2502 2780 2901 3336 3868 4170 4835 5004 5560 5802 6255 7736 8340 8703 9670 10008 11604 12510 14505 16680 17406 19340 23208 25020 29010 34812 38680 43515 50040 58020 69624 87030 116040 134413 174060 268826 348120 403239 537652 672065 806478 1075304 1209717 1344130 1612956 2016195 2419434 2688260 3225912 4032390 4838868 5376520 6048585 8064780 9677736 12097170 16129560 24194340 48388680