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48171040 = 2553779103
BaseRepresentation
bin1011011111000…
…0100000100000
310100122100020121
42313300200200
544312433130
64440250024
71123306231
oct267604040
9110570217
1048171040
1125211685
1214170914
139c97a98
14657d088
154367d7a
hex2df0820

48171040 has 96 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 18330624.

The previous prime is 48171017. The next prime is 48171107. The reversal of 48171040 is 4017184.

It is a junction number, because it is equal to n+sod(n) for n = 48170996 and 48171014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467629 + ... + 467731.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 248171040 is an apocalyptic number.

48171040 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 48171040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

48171040 is an abundant number, since it is smaller than the sum of its proper divisors (71337440).

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

48171040 is a wasteful number, since it uses less digits than its factorization.

48171040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 48171040 is about 6940.5360023560. The cubic root of 48171040 is about 363.8552739464.

The spelling of 48171040 in words is "forty-eight million, one hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 79 80 103 148 158 160 185 206 296 316 370 395 412 515 592 632 740 790 824 1030 1184 1264 1480 1580 1648 2060 2528 2923 2960 3160 3296 3811 4120 5846 5920 6320 7622 8137 8240 11692 12640 14615 15244 16274 16480 19055 23384 29230 30488 32548 38110 40685 46768 58460 60976 65096 76220 81370 93536 116920 121952 130192 152440 162740 233840 260384 301069 304880 325480 467680 602138 609760 650960 1204276 1301920 1505345 2408552 3010690 4817104 6021380 9634208 12042760 24085520 48171040