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48748680 = 23325197127
BaseRepresentation
bin1011100111110…
…1100010001000
310101201200121200
42321331202020
544434424210
64500504200
71131233301
oct271754210
9111650550
1048748680
1125576672
12143ab060
13a13a996
14668d7a8
15442e0c0
hex2e7d888

48748680 has 96 divisors (see below), whose sum is σ = 166795200. Its totient is φ = 12313728.

The previous prime is 48748663. The next prime is 48748697. The reversal of 48748680 is 8684784.

48748680 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 (48748663) and next prime (48748697).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3277 + ... + 10403.

It is an arithmetic number, because the mean of its divisors is an integer number (1737450).

Almost surely, 248748680 is an apocalyptic number.

48748680 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 48748680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83397600).

48748680 is an abundant number, since it is smaller than the sum of its proper divisors (118046520).

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

48748680 is a wasteful number, since it uses less digits than its factorization.

48748680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7163 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 48748680 is about 6982.0254940812. The cubic root of 48748680 is about 365.3038815419.

The spelling of 48748680 in words is "forty-eight million, seven hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 7127 14254 21381 28508 35635 42762 57016 64143 71270 85524 106905 128286 135413 142540 171048 213810 256572 270826 285080 320715 406239 427620 513144 541652 641430 677065 812478 855240 1083304 1218717 1282860 1354130 1624956 2031195 2437434 2565720 2708260 3249912 4062390 4874868 5416520 6093585 8124780 9749736 12187170 16249560 24374340 48748680