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48942800 = 2452313947
BaseRepresentation
bin1011101010110…
…0111011010000
310102002112220022
42322230323100
5100012132200
64505003012
71133002244
oct272547320
9112075808
1048942800
11256994a5
1214483468
13a1a814a
146700424
15446b885
hex2eaced0

48942800 has 60 divisors (see below), whose sum is σ = 121408896. Its totient is φ = 18940800.

The previous prime is 48942799. The next prime is 48942811. The reversal of 48942800 is 824984.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10427 + ... + 14373.

Almost surely, 248942800 is an apocalyptic number.

48942800 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 48942800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60704448).

48942800 is an abundant number, since it is smaller than the sum of its proper divisors (72466096).

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

48942800 is a wasteful number, since it uses less digits than its factorization.

48942800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 48942800 is about 6995.9130926563. The cubic root of 48942800 is about 365.7881262498.

The spelling of 48942800 in words is "forty-eight million, nine hundred forty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 3947 6200 7894 12400 15788 19735 31576 39470 63152 78940 98675 122357 157880 197350 244714 315760 394700 489428 611785 789400 978856 1223570 1578800 1957712 2447140 3058925 4894280 6117850 9788560 12235700 24471400 48942800