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47879808 = 273671861
BaseRepresentation
bin1011011010100…
…1011010000000
310100002112202020
42312221122000
544224123213
64430121440
71120654164
oct266513200
9110075666
1047879808
1125032899
1214050280
139bc5362
146504ca4
15430b923
hex2da9680

47879808 has 64 divisors (see below), whose sum is σ = 129148320. Its totient is φ = 15713280.

The previous prime is 47879807. The next prime is 47879827. The reversal of 47879808 is 80897874.

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

It is not an unprimeable number, because it can be changed into a prime (47879807) by changing a digit.

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, 24798 + ... + 26658.

Almost surely, 247879808 is an apocalyptic number.

47879808 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 47879808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64574160).

47879808 is an abundant number, since it is smaller than the sum of its proper divisors (81268512).

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

47879808 is a wasteful number, since it uses less digits than its factorization.

47879808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 47879808 is about 6919.5236830291. The cubic root of 47879808 is about 363.1205270299.

The spelling of 47879808 in words is "forty-seven million, eight hundred seventy-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1608 1861 2144 3216 3722 4288 5583 6432 7444 8576 11166 12864 14888 22332 25728 29776 44664 59552 89328 119104 124687 178656 238208 249374 357312 374061 498748 714624 748122 997496 1496244 1994992 2992488 3989984 5984976 7979968 11969952 15959936 23939904 47879808