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249478380 = 2236571241
BaseRepresentation
bin11101101111010…
…11110011101100
3122101102211000000
432313223303230
51002331302010
640431104300
76116350134
oct1667536354
9571384000
10249478380
11118907888
126b672090
133c8bc158
14251c1ac4
1516d7e7c0
hexedebcec

249478380 has 168 divisors, whose sum is σ = 799866144. Its totient is φ = 65318400.

The previous prime is 249478357. The next prime is 249478391. The reversal of 249478380 is 83874942.

249478380 is a `hidden beast` number, since 2 + 494 + 7 + 83 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1035060 + ... + 1035300.

It is an arithmetic number, because the mean of its divisors is an integer number (4761108).

Almost surely, 2249478380 is an apocalyptic number.

249478380 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 249478380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399933072).

249478380 is an abundant number, since it is smaller than the sum of its proper divisors (550387764).

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

249478380 is a wasteful number, since it uses less digits than its factorization.

249478380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 249478380 is about 15794.8846149632. The cubic root of 249478380 is about 629.5220865295.

The spelling of 249478380 in words is "two hundred forty-nine million, four hundred seventy-eight thousand, three hundred eighty".