Search a number
-
+
48078900 = 22335217807
BaseRepresentation
bin1011011101101…
…0000000110100
310100110122212000
42313122000310
544302011100
64434255300
71122443502
oct267320064
9110418760
1048078900
1125159431
1214127530
139c64b6c
146557672
15434a900
hex2dda034

48078900 has 72 divisors (see below), whose sum is σ = 154573440. Its totient is φ = 12820320.

The previous prime is 48078893. The next prime is 48078959. The reversal of 48078900 is 987084.

It is a super-3 number, since 3×480789003 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

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, 6204 + ... + 11603.

Almost surely, 248078900 is an apocalyptic number.

It is an amenable number.

48078900 is an abundant number, since it is smaller than the sum of its proper divisors (106494540).

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

48078900 is a wasteful number, since it uses less digits than its factorization.

48078900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17830 (or 17817 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 48078900 is about 6933.8950093003. The cubic root of 48078900 is about 363.6231356931.

The spelling of 48078900 in words is "forty-eight million, seventy-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 17807 35614 53421 71228 89035 106842 160263 178070 213684 267105 320526 356140 445175 480789 534210 641052 801315 890350 961578 1068420 1335525 1602630 1780700 1923156 2403945 2671050 3205260 4006575 4807890 5342100 8013150 9615780 12019725 16026300 24039450 48078900