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48986560 = 2657191151
BaseRepresentation
bin1011101011011…
…1100111000000
310102011202221001
42322313213000
5100020032220
64505541344
71133243650
oct272674700
9112152831
1048986560
1125719367
12144a4854
13a1c203c
146712360
15447980a
hex2eb79c0

48986560 has 112 divisors (see below), whose sum is σ = 140451840. Its totient is φ = 15897600.

The previous prime is 48986551. The next prime is 48986569. The reversal of 48986560 is 6568984.

It is an interprime number because it is at equal distance from previous prime (48986551) and next prime (48986569).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 48986560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48986569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41985 + ... + 43135.

Almost surely, 248986560 is an apocalyptic number.

48986560 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 48986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

48986560 is an abundant number, since it is smaller than the sum of its proper divisors (91465280).

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

48986560 is a wasteful number, since it uses less digits than its factorization.

48986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 48986560 is about 6999.0399341624. The cubic root of 48986560 is about 365.8971114336.

The spelling of 48986560 in words is "forty-eight million, nine hundred eighty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 665 760 1064 1120 1151 1216 1330 1520 2128 2240 2302 2660 3040 4256 4604 5320 5755 6080 8057 8512 9208 10640 11510 16114 18416 21280 21869 23020 32228 36832 40285 42560 43738 46040 64456 73664 80570 87476 92080 109345 128912 153083 161140 174952 184160 218690 257824 306166 322280 349904 368320 437380 515648 612332 644560 699808 765415 874760 1224664 1289120 1399616 1530830 1749520 2449328 2578240 3061660 3499040 4898656 6123320 6998080 9797312 12246640 24493280 48986560