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48134600 = 23521953239
BaseRepresentation
bin1011011110011…
…1100111001000
310100120111020222
42313213213020
544310301400
64435405212
71123065053
oct267474710
9110514228
1048134600
1125197268
1214153808
139c84317
14656da9a
15435c185
hex2de79c8

48134600 has 96 divisors (see below), whose sum is σ = 120528000. Its totient is φ = 17821440.

The previous prime is 48134579. The next prime is 48134617. The reversal of 48134600 is 643184.

It is a self number, because there is not a number n which added to its sum of digits gives 48134600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201281 + ... + 201519.

It is an arithmetic number, because the mean of its divisors is an integer number (1255500).

Almost surely, 248134600 is an apocalyptic number.

48134600 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 48134600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60264000).

48134600 is an abundant number, since it is smaller than the sum of its proper divisors (72393400).

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

48134600 is a wasteful number, since it uses less digits than its factorization.

48134600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 48134600 is about 6937.9103482245. The cubic root of 48134600 is about 363.7635021342.

Adding to 48134600 its reverse (643184), we get a palindrome (48777784).

The spelling of 48134600 in words is "forty-eight million, one hundred thirty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 53 76 95 100 106 152 190 200 212 239 265 380 424 475 478 530 760 950 956 1007 1060 1195 1325 1900 1912 2014 2120 2390 2650 3800 4028 4541 4780 5035 5300 5975 8056 9082 9560 10070 10600 11950 12667 18164 20140 22705 23900 25175 25334 36328 40280 45410 47800 50350 50668 63335 90820 100700 101336 113525 126670 181640 201400 227050 240673 253340 316675 454100 481346 506680 633350 908200 962692 1203365 1266700 1925384 2406730 2533400 4813460 6016825 9626920 12033650 24067300 48134600