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4908000 = 25353409
BaseRepresentation
bin10010101110001111100000
3100020100111210
4102232033200
52224024000
6253110120
756501016
oct22561740
910210453
104908000
1128524a9
121788340
13102ac56
1491a8b6
1566e350
hex4ae3e0

4908000 has 96 divisors (see below), whose sum is σ = 16117920. Its totient is φ = 1305600.

The previous prime is 4907971. The next prime is 4908011. The reversal of 4908000 is 8094.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11796 + ... + 12204.

It is an arithmetic number, because the mean of its divisors is an integer number (167895).

Almost surely, 24908000 is an apocalyptic number.

4908000 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 4908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058960).

4908000 is an abundant number, since it is smaller than the sum of its proper divisors (11209920).

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

4908000 is a wasteful number, since it uses less digits than its factorization.

4908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4908000 is about 2215.4006409677. The cubic root of 4908000 is about 169.9423102983.

The spelling of 4908000 in words is "four million, nine hundred eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 409 480 500 600 750 800 818 1000 1200 1227 1500 1636 2000 2045 2400 2454 3000 3272 4000 4090 4908 6000 6135 6544 8180 9816 10225 12000 12270 13088 16360 19632 20450 24540 30675 32720 39264 40900 49080 51125 61350 65440 81800 98160 102250 122700 153375 163600 196320 204500 245400 306750 327200 409000 490800 613500 818000 981600 1227000 1636000 2454000 4908000