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48655152 = 24327134779
BaseRepresentation
bin1011100110011…
…0101100110000
310101112221022200
42321212230300
544423431102
64454503200
71130363520
oct271465460
9111487280
1048655152
1125512377
1214364b00
13a107240
146667680
15441151c
hex2e66b30

48655152 has 240 divisors, whose sum is σ = 173322240. Its totient is φ = 12400128.

The previous prime is 48655141. The next prime is 48655169. The reversal of 48655152 is 25155684.

48655152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×486551522 = 4734647632286208, which contains 22 as substring.

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

Its product of digits (48000) is a multiple of the sum of its prime factors (160).

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, 615849 + ... + 615927.

It is an arithmetic number, because the mean of its divisors is an integer number (722176).

Almost surely, 248655152 is an apocalyptic number.

48655152 is a gapful number since it is divisible by the number (42) 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 48655152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86661120).

48655152 is an abundant number, since it is smaller than the sum of its proper divisors (124667088).

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

48655152 is a wasteful number, since it uses less digits than its factorization.

48655152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 48655152 is about 6975.3245085802. The cubic root of 48655152 is about 365.0701110080.

The spelling of 48655152 in words is "forty-eight million, six hundred fifty-five thousand, one hundred fifty-two".