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48771008 = 261113732
BaseRepresentation
bin1011101000001…
…0111111000000
310101202211020122
42322002333000
544441133013
64501155412
71131355346
oct272027700
9111684218
1048771008
1125591420
12143bbb68
13a147bb0
146697996
154435a08
hex2e82fc0

48771008 has 84 divisors (see below), whose sum is σ = 115278408. Its totient is φ = 20183040.

The previous prime is 48770963. The next prime is 48771061. The reversal of 48771008 is 80017784.

It is a super-2 number, since 2×487710082 = 4757222442672128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 668060 + ... + 668132.

It is an arithmetic number, because the mean of its divisors is an integer number (1372362).

Almost surely, 248771008 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 48771008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57639204).

48771008 is an abundant number, since it is smaller than the sum of its proper divisors (66507400).

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

48771008 is a wasteful number, since it uses less digits than its factorization.

48771008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 48771008 is about 6983.6242739712. The cubic root of 48771008 is about 365.3596455140.

It can be divided in two parts, 4877 and 1008, that added together give a palindrome (5885).

The spelling of 48771008 in words is "forty-eight million, seven hundred seventy-one thousand, eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 73 88 104 143 146 176 208 286 292 352 416 572 584 704 803 832 949 1144 1168 1606 1898 2288 2336 3212 3796 4576 4672 5329 6424 7592 9152 10439 10658 12848 15184 20878 21316 25696 30368 41756 42632 51392 58619 60736 69277 83512 85264 117238 138554 167024 170528 234476 277108 334048 341056 468952 554216 668096 762047 937904 1108432 1524094 1875808 2216864 3048188 3751616 4433728 6096376 12192752 24385504 48771008