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48498000 = 2435359137
BaseRepresentation
bin1011100100000…
…0010101010000
310101020221202020
42321000111100
544403414000
64451251440
71126140405
oct271002520
9111227666
1048498000
11254152a1
12142a9b80
13a080855
1466262ac
1543ceba0
hex2e40550

48498000 has 160 divisors (see below), whose sum is σ = 160168320. Its totient is φ = 12620800.

The previous prime is 48497987. The next prime is 48498049. The reversal of 48498000 is 89484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353932 + ... + 354068.

It is an arithmetic number, because the mean of its divisors is an integer number (1001052).

Almost surely, 248498000 is an apocalyptic number.

48498000 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 48498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80084160).

48498000 is an abundant number, since it is smaller than the sum of its proper divisors (111670320).

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

48498000 is a wasteful number, since it uses less digits than its factorization.

48498000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 48498000 is about 6964.0505454800. The cubic root of 48498000 is about 364.6766386133.

The spelling of 48498000 in words is "forty-eight million, four hundred ninety-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 59 60 75 80 100 118 120 125 137 150 177 200 236 240 250 274 295 300 354 375 400 411 472 500 548 590 600 685 708 750 822 885 944 1000 1096 1180 1200 1370 1416 1475 1500 1644 1770 2000 2055 2192 2360 2740 2832 2950 3000 3288 3425 3540 4110 4425 4720 5480 5900 6000 6576 6850 7080 7375 8083 8220 8850 10275 10960 11800 13700 14160 14750 16166 16440 17125 17700 20550 22125 23600 24249 27400 29500 32332 32880 34250 35400 40415 41100 44250 48498 51375 54800 59000 64664 68500 70800 80830 82200 88500 96996 102750 118000 121245 129328 137000 161660 164400 177000 193992 202075 205500 242490 274000 323320 354000 387984 404150 411000 484980 606225 646640 808300 822000 969960 1010375 1212450 1616600 1939920 2020750 2424900 3031125 3233200 4041500 4849800 6062250 8083000 9699600 12124500 16166000 24249000 48498000