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48683460 = 22357229571
BaseRepresentation
bin1011100110110…
…1100111000100
310101121101011010
42321231213010
544430332320
64455242220
71130542200
oct271554704
9111541133
1048683460
1125531671
1214379370
13a1170a7
146673b00
154419ae0
hex2e6d9c4

48683460 has 144 divisors (see below), whose sum is σ = 164324160. Its totient is φ = 10725120.

The previous prime is 48683447. The next prime is 48683477. The reversal of 48683460 is 6438684.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84975 + ... + 85545.

It is an arithmetic number, because the mean of its divisors is an integer number (1141140).

Almost surely, 248683460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48683460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82162080).

48683460 is an abundant number, since it is smaller than the sum of its proper divisors (115640700).

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

48683460 is a wasteful number, since it uses less digits than its factorization.

48683460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 48683460 is about 6977.3533664277. The cubic root of 48683460 is about 365.1408976271.

The spelling of 48683460 in words is "forty-eight million, six hundred eighty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 49 58 60 70 84 87 98 105 116 140 145 147 174 196 203 210 245 290 294 348 406 420 435 490 571 580 588 609 735 812 870 980 1015 1142 1218 1421 1470 1713 1740 2030 2284 2436 2842 2855 2940 3045 3426 3997 4060 4263 5684 5710 6090 6852 7105 7994 8526 8565 11420 11991 12180 14210 15988 16559 17052 17130 19985 21315 23982 27979 28420 33118 34260 39970 42630 47964 49677 55958 59955 66236 79940 82795 83937 85260 99354 111916 115913 119910 139895 165590 167874 198708 231826 239820 248385 279790 331180 335748 347739 419685 463652 496770 559580 579565 695478 811391 839370 993540 1159130 1390956 1622782 1678740 1738695 2318260 2434173 3245564 3477390 4056955 4868346 6954780 8113910 9736692 12170865 16227820 24341730 48683460