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48442680 = 233251113941
BaseRepresentation
bin1011100011001…
…0110100111000
310101011010212100
42320302310320
544400131210
64450143400
71125520206
oct270626470
9111133770
1048442680
1125387780
1214281b60
13a061610
146610076
1543bd5c0
hex2e32d38

48442680 has 192 divisors, whose sum is σ = 185159520. Its totient is φ = 10828800.

The previous prime is 48442679. The next prime is 48442699. The reversal of 48442680 is 8624484.

48442680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51010 + ... + 51950.

Almost surely, 248442680 is an apocalyptic number.

48442680 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 48442680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92579760).

48442680 is an abundant number, since it is smaller than the sum of its proper divisors (136716840).

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

48442680 is a wasteful number, since it uses less digits than its factorization.

48442680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48442680 is about 6960.0775857745. The cubic root of 48442680 is about 364.5379278275.

The spelling of 48442680 in words is "forty-eight million, four hundred forty-two thousand, six hundred eighty".