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40380048 = 2432614597
BaseRepresentation
bin1001101000001…
…0011010010000
32210222112000100
42122002122100
540314130143
64001252400
71000140042
oct232023220
983875010
1040380048
1120880145
1211634100
13849a827
145511a92
1538296d3
hex2682690

40380048 has 60 divisors (see below), whose sum is σ = 114885628. Its totient is φ = 13236480.

The previous prime is 40380047. The next prime is 40380059. The reversal of 40380048 is 84008304.

It can be written as a sum of positive squares in 2 ways, for example, as 2039184 + 38340864 = 1428^2 + 6192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40380047) 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, 6486 + ... + 11082.

Almost surely, 240380048 is an apocalyptic number.

40380048 is a gapful number since it is divisible by the number (48) 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 40380048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57442814).

40380048 is an abundant number, since it is smaller than the sum of its proper divisors (74505580).

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

40380048 is a wasteful number, since it uses less digits than its factorization.

40380048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40380048 is about 6354.5297229614. The cubic root of 40380048 is about 343.0748985743.

The spelling of 40380048 in words is "forty million, three hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 4597 8784 9194 13791 18388 27582 36776 41373 55164 73552 82746 110328 165492 220656 280417 330984 560834 661968 841251 1121668 1682502 2243336 2523753 3365004 4486672 5047506 6730008 10095012 13460016 20190024 40380048