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48765240 = 2335529173
BaseRepresentation
bin1011101000000…
…1100100111000
310101202112100000
42322001210320
544440441430
64501113000
71131332466
oct272014470
9111675300
1048765240
1125588057
12143b8760
13a145394
146695836
154433e60
hex2e81938

48765240 has 192 divisors, whose sum is σ = 171007200. Its totient is φ = 12483072.

The previous prime is 48765217. The next prime is 48765253. The reversal of 48765240 is 4256784.

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

It is a junction number, because it is equal to n+sod(n) for n = 48765195 and 48765204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281794 + ... + 281966.

Almost surely, 248765240 is an apocalyptic number.

48765240 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 48765240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85503600).

48765240 is an abundant number, since it is smaller than the sum of its proper divisors (122241960).

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

48765240 is a wasteful number, since it uses less digits than its factorization.

48765240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48765240 is about 6983.2112956719. The cubic root of 48765240 is about 365.3452416185.

The spelling of 48765240 in words is "forty-eight million, seven hundred sixty-five thousand, two hundred forty".