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248253400 = 23521241267
BaseRepresentation
bin11101100110000…
…00101111011000
3122022010120122101
432303000233120
51002023102100
640344533144
76103055563
oct1663005730
9568116571
10248253400
111181504aa
126b1811b4
133c580705
1424d834da
1516bdb86a
hexecc0bd8

248253400 has 24 divisors (see below), whose sum is σ = 577189620. Its totient is φ = 99301280.

The previous prime is 248253371. The next prime is 248253407. The reversal of 248253400 is 4352842.

248253400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2482534002 = 123259501223120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248253407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 620434 + ... + 620833.

Almost surely, 2248253400 is an apocalyptic number.

248253400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248253400 is an abundant number, since it is smaller than the sum of its proper divisors (328936220).

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

248253400 is a wasteful number, since it uses less digits than its factorization.

248253400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241283 (or 1241274 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 248253400 is about 15756.0591519580. The cubic root of 248253400 is about 628.4900430835.

The spelling of 248253400 in words is "two hundred forty-eight million, two hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1241267 2482534 4965068 6206335 9930136 12412670 24825340 31031675 49650680 62063350 124126700 248253400