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48155040 = 2533571157
BaseRepresentation
bin1011011110110…
…0100110100000
310100121112022000
42313230212200
544311430130
64440044000
71123211463
oct267544640
9110545260
1048155040
112520065a
1214163600
139c9070b
1465772da
154363260
hex2dec9a0

48155040 has 192 divisors, whose sum is σ = 172005120. Its totient is φ = 12579840.

The previous prime is 48155017. The next prime is 48155057. The reversal of 48155040 is 4055184.

48155040 = T1129 + T1130 + ... + T1199.

48155040 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 (27).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 48154995 and 48155013.

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 31 ways as a sum of consecutive naturals, for example, 306642 + ... + 306798.

It is an arithmetic number, because the mean of its divisors is an integer number (895860).

Almost surely, 248155040 is an apocalyptic number.

48155040 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 48155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86002560).

48155040 is an abundant number, since it is smaller than the sum of its proper divisors (123850080).

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

48155040 is a wasteful number, since it uses less digits than its factorization.

48155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 48155040 is about 6939.3832578984. The cubic root of 48155040 is about 363.8149846698.

The spelling of 48155040 in words is "forty-eight million, one hundred fifty-five thousand, forty".