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248030800 = 24523831619
BaseRepresentation
bin11101100100010…
…10011001010000
3122021201021021221
432302022121100
51001443441200
640340054424
76101140603
oct1662123120
9567637257
10248030800
11118009236
126b094414
133c5032b4
1424d2633a
1516b9591a
hexec8a650

248030800 has 60 divisors (see below), whose sum is σ = 597818880. Its totient is φ = 98892160.

The previous prime is 248030789. The next prime is 248030801. The reversal of 248030800 is 8030842.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248030801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152391 + ... + 154009.

It is an arithmetic number, because the mean of its divisors is an integer number (9963648).

Almost surely, 2248030800 is an apocalyptic number.

248030800 is a gapful number since it is divisible by the number (20) 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 248030800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298909440).

248030800 is an abundant number, since it is smaller than the sum of its proper divisors (349788080).

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

248030800 is a wasteful number, since it uses less digits than its factorization.

248030800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 248030800 is about 15748.9936186412. The cubic root of 248030800 is about 628.3021386823.

The spelling of 248030800 in words is "two hundred forty-eight million, thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 383 400 766 1532 1619 1915 3064 3238 3830 6128 6476 7660 8095 9575 12952 15320 16190 19150 25904 30640 32380 38300 40475 64760 76600 80950 129520 153200 161900 323800 620077 647600 1240154 2480308 3100385 4960616 6200770 9921232 12401540 15501925 24803080 31003850 49606160 62007700 124015400 248030800