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48724608 = 273223569
BaseRepresentation
bin1011100111011…
…1101010000000
310101200110121010
42321313222000
544433141413
64500200520
71131103152
oct271675200
9111613533
1048724608
112555a579
1214399140
13a12ca3a
146684ad2
154426dc3
hex2e77a80

48724608 has 64 divisors (see below), whose sum is σ = 130233600. Its totient is φ = 16140288.

The previous prime is 48724589. The next prime is 48724651. The reversal of 48724608 is 80642784.

48724608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85348 + ... + 85916.

It is an arithmetic number, because the mean of its divisors is an integer number (2034900).

Almost surely, 248724608 is an apocalyptic number.

48724608 is a gapful number since it is divisible by the number (48) 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 48724608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65116800).

48724608 is an abundant number, since it is smaller than the sum of its proper divisors (81508992).

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

48724608 is a wasteful number, since it uses less digits than its factorization.

48724608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 48724608 is about 6980.3014261563. The cubic root of 48724608 is about 365.2437428684.

The spelling of 48724608 in words is "forty-eight million, seven hundred twenty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 384 446 569 669 892 1138 1338 1707 1784 2276 2676 3414 3568 4552 5352 6828 7136 9104 10704 13656 14272 18208 21408 27312 28544 36416 42816 54624 72832 85632 109248 126887 218496 253774 380661 507548 761322 1015096 1522644 2030192 3045288 4060384 6090576 8120768 12181152 16241536 24362304 48724608