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48354240 = 26351119241
BaseRepresentation
bin1011100001110…
…1001111000000
310100222122112210
42320131033000
544334313430
64444222120
71125001314
oct270351700
9110878483
1048354240
1125327290
121423a940
13a03029c
1465c9b44
1543a22b0
hex2e1d3c0

48354240 has 224 divisors, whose sum is σ = 177027840. Its totient is φ = 11059200.

The previous prime is 48354197. The next prime is 48354247. The reversal of 48354240 is 4245384.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48354198 and 48354207.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 482 × 418 × 240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48354247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200520 + ... + 200760.

Almost surely, 248354240 is an apocalyptic number.

48354240 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 48354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88513920).

48354240 is an abundant number, since it is smaller than the sum of its proper divisors (128673600).

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

48354240 is a wasteful number, since it uses less digits than its factorization.

48354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 48354240 is about 6953.7213058908. The cubic root of 48354240 is about 364.3159515737.

The spelling of 48354240 in words is "forty-eight million, three hundred fifty-four thousand, two hundred forty".