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48248000 = 265337163
BaseRepresentation
bin1011100000001…
…1010011000000
310100210020210222
42320003103000
544322414000
64442042212
71124046503
oct270032300
9110706728
1048248000
1125264489
12141a9368
139cc3b18
14659d13a
154380a85
hex2e034c0

48248000 has 112 divisors (see below), whose sum is σ = 123468384. Its totient is φ = 18662400.

The previous prime is 48247999. The next prime is 48248029. The reversal of 48248000 is 84284.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295919 + ... + 296081.

Almost surely, 248248000 is an apocalyptic number.

48248000 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 48248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61734192).

48248000 is an abundant number, since it is smaller than the sum of its proper divisors (75220384).

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

48248000 is a wasteful number, since it uses less digits than its factorization.

48248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 48248000 is about 6946.0780300829. The cubic root of 48248000 is about 364.0489408091.

The spelling of 48248000 in words is "forty-eight million, two hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 163 185 200 250 296 320 326 370 400 500 592 652 740 800 815 925 1000 1184 1304 1480 1600 1630 1850 2000 2368 2608 2960 3260 3700 4000 4075 4625 5216 5920 6031 6520 7400 8000 8150 9250 10432 11840 12062 13040 14800 16300 18500 20375 24124 26080 29600 30155 32600 37000 40750 48248 52160 59200 60310 65200 74000 81500 96496 120620 130400 148000 150775 163000 192992 241240 260800 296000 301550 326000 385984 482480 603100 652000 753875 964960 1206200 1304000 1507750 1929920 2412400 3015500 4824800 6031000 9649600 12062000 24124000 48248000