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48992000 = 28531531
BaseRepresentation
bin1011101011100…
…0111100000000
310102012001101112
42322320330000
5100020221000
64510022452
71133265551
oct272707400
9112161345
1048992000
1125722462
12144a7a28
13a1c4665
146714328
15447b235
hex2eb8f00

48992000 has 72 divisors (see below), whose sum is σ = 122124912. Its totient is φ = 19584000.

The previous prime is 48991963. The next prime is 48992003. The reversal of 48992000 is 29984.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48992003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31235 + ... + 32765.

Almost surely, 248992000 is an apocalyptic number.

48992000 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 48992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61062456).

48992000 is an abundant number, since it is smaller than the sum of its proper divisors (73132912).

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

48992000 is an equidigital number, since it uses as much as digits as its factorization.

48992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 48992000 is about 6999.4285481031. The cubic root of 48992000 is about 365.9106553295.

The spelling of 48992000 in words is "forty-eight million, nine hundred ninety-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1531 1600 2000 3062 3200 4000 6124 6400 7655 8000 12248 15310 16000 24496 30620 32000 38275 48992 61240 76550 97984 122480 153100 191375 195968 244960 306200 382750 391936 489920 612400 765500 979840 1224800 1531000 1959680 2449600 3062000 4899200 6124000 9798400 12248000 24496000 48992000