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48415092440 = 2351113196167109
BaseRepresentation
bin101101000101110000…
…111010111011011000
311121222010112112011212
4231011300322323120
51243123230424230
634124103242252
73332525332001
oct550560727330
9147863475155
1048415092440
111959506a5a0
129472149388
1347475bc6c0
1424b40481a8
1513d5677895
hexb45c3aed8

48415092440 has 512 divisors, whose sum is σ = 140241024000. Its totient is φ = 14780620800.

The previous prime is 48415092419. The next prime is 48415092449. The reversal of 48415092440 is 4429051484.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48415092449) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 444175106 + ... + 444175214.

It is an arithmetic number, because the mean of its divisors is an integer number (273908250).

Almost surely, 248415092440 is an apocalyptic number.

48415092440 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 48415092440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70120512000).

48415092440 is an abundant number, since it is smaller than the sum of its proper divisors (91825931560).

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

48415092440 is a wasteful number, since it uses less digits than its factorization.

48415092440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 48415092440 in words is "forty-eight billion, four hundred fifteen million, ninety-two thousand, four hundred forty".