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48848040 = 23325472887
BaseRepresentation
bin1011101001010…
…1110010101000
310101220201220200
42322111302220
5100001114130
64502552200
71132126053
oct272256250
9111821820
1048848040
112563428a
1214438660
13a173c87
1466b7a9a
15444d760
hex2e95ca8

48848040 has 96 divisors (see below), whose sum is σ = 162190080. Its totient is φ = 12744576.

The previous prime is 48848027. The next prime is 48848077. The reversal of 48848040 is 4084884.

48848040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×488480402 = 4772262023683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48847986 and 48848004.

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, 15477 + ... + 18363.

It is an arithmetic number, because the mean of its divisors is an integer number (1689480).

Almost surely, 248848040 is an apocalyptic number.

48848040 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 48848040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81095040).

48848040 is an abundant number, since it is smaller than the sum of its proper divisors (113342040).

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

48848040 is a wasteful number, since it uses less digits than its factorization.

48848040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 48848040 is about 6989.1372858172. The cubic root of 48848040 is about 365.5519016698.

The spelling of 48848040 in words is "forty-eight million, eight hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 2887 3384 4230 5640 5774 8460 8661 11548 14435 16920 17322 23096 25983 28870 34644 43305 51966 57740 69288 86610 103932 115480 129915 135689 173220 207864 259830 271378 346440 407067 519660 542756 678445 814134 1039320 1085512 1221201 1356890 1628268 2035335 2442402 2713780 3256536 4070670 4884804 5427560 6106005 8141340 9769608 12212010 16282680 24424020 48848040