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48553088 = 271753421
BaseRepresentation
bin1011100100110…
…1110010000000
310101100202022112
42321031302000
544412144323
64452354452
71126460123
oct271156200
9111322275
1048553088
1125452721
1214315a28
13a09c94c
14663c3ba
1543e1178
hex2e4dc80

48553088 has 64 divisors (see below), whose sum is σ = 104596920. Its totient is φ = 22364160.

The previous prime is 48553073. The next prime is 48553093. The reversal of 48553088 is 88035584.

It can be written as a sum of positive squares in 4 ways, for example, as 37847104 + 10705984 = 6152^2 + 3272^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 115118 + ... + 115538.

Almost surely, 248553088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48553088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52298460).

48553088 is an abundant number, since it is smaller than the sum of its proper divisors (56043832).

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

48553088 is a wasteful number, since it uses less digits than its factorization.

48553088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 48553088 is about 6968.0045924210. The cubic root of 48553088 is about 364.8146628968.

The spelling of 48553088 in words is "forty-eight million, five hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 272 421 424 544 842 848 901 1088 1684 1696 1802 2176 3368 3392 3604 6736 6784 7157 7208 13472 14314 14416 22313 26944 28628 28832 44626 53888 57256 57664 89252 114512 115328 178504 229024 357008 379321 458048 714016 758642 916096 1428032 1517284 2856064 3034568 6069136 12138272 24276544 48553088