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55048032 = 253313329
BaseRepresentation
bin1101000111111…
…1011101100000
310211120201201000
43101333131200
5103043014112
65243512000
71235620614
oct321773540
9124521630
1055048032
1129089446
1216528600
13b535000
14744d344
154c757dc
hex347f760

55048032 has 192 divisors, whose sum is σ = 179928000. Its totient is φ = 16353792.

The previous prime is 55047991. The next prime is 55048067. The reversal of 55048032 is 23084055.

55048032 is a `hidden beast` number, since 550 + 4 + 80 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55047987 and 55048005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1898194 + ... + 1898222.

It is an arithmetic number, because the mean of its divisors is an integer number (937125).

Almost surely, 255048032 is an apocalyptic number.

55048032 is a gapful number since it is divisible by the number (52) 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 55048032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89964000).

55048032 is an abundant number, since it is smaller than the sum of its proper divisors (124879968).

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

55048032 is a wasteful number, since it uses less digits than its factorization.

55048032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 55048032 is about 7419.4360971707. The cubic root of 55048032 is about 380.4059189637.

The spelling of 55048032 in words is "fifty-five million, forty-eight thousand, thirty-two".