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47438208 = 273241179
BaseRepresentation
bin1011010011110…
…1100110000000
310022021002222200
42310331212000
544121010313
64412433200
71114134546
oct264754600
9108232880
1047438208
1124861034
1213a78800
139a9c35c
14642bd96
154270b73
hex2d3d980

47438208 has 48 divisors (see below), whose sum is σ = 136511700. Its totient is φ = 15812352.

The previous prime is 47438203. The next prime is 47438219. The reversal of 47438208 is 80283474.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47438203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19438 + ... + 21741.

Almost surely, 247438208 is an apocalyptic number.

47438208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47438208 is an abundant number, since it is smaller than the sum of its proper divisors (89073492).

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

47438208 is a wasteful number, since it uses less digits than its factorization.

47438208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41199 (or 41184 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 47438208 is about 6887.5400543300. The cubic root of 47438208 is about 362.0007122276. Note that the first 3 decimals are identical.

The spelling of 47438208 in words is "forty-seven million, four hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 41179 82358 123537 164716 247074 329432 370611 494148 658864 741222 988296 1317728 1482444 1976592 2635456 2964888 3953184 5270912 5929776 7906368 11859552 15812736 23719104 47438208