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104248950 = 235213193277
BaseRepresentation
bin1100011011010…
…11011001110110
321021011101200020
412031223121312
5203141431300
614202230010
72404046541
oct615533166
9237141606
10104248950
1153933863
122aab5306
13187a0790
14dbb9858
1592438a0
hex636b676

104248950 has 96 divisors (see below), whose sum is σ = 280877856. Its totient is φ = 25436160.

The previous prime is 104248931. The next prime is 104248951. The reversal of 104248950 is 59842401.

It is a super-2 number, since 2×1042489502 = 21735687152205000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104248951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376212 + ... + 376488.

It is an arithmetic number, because the mean of its divisors is an integer number (2925811).

Almost surely, 2104248950 is an apocalyptic number.

104248950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104248950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140438928).

104248950 is an abundant number, since it is smaller than the sum of its proper divisors (176628906).

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

104248950 is a wasteful number, since it uses less digits than its factorization.

104248950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 104248950 is about 10210.2375094804. The cubic root of 104248950 is about 470.6418723636.

The spelling of 104248950 in words is "one hundred four million, two hundred forty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 193 195 277 325 386 390 554 579 650 831 965 975 1158 1385 1662 1930 1950 2509 2770 2895 3601 4155 4825 5018 5790 6925 7202 7527 8310 9650 10803 12545 13850 14475 15054 18005 20775 21606 25090 28950 36010 37635 41550 53461 54015 62725 75270 90025 106922 108030 125450 160383 180050 188175 267305 270075 320766 376350 534610 540150 694993 801915 1336525 1389986 1603830 2084979 2673050 3474965 4009575 4169958 6949930 8019150 10424895 17374825 20849790 34749650 52124475 104248950