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47428304 = 24711137281
BaseRepresentation
bin1011010011101…
…1001011010000
310022020121101212
42310323023100
544120201204
64412315252
71114063640
oct264731320
9108217355
1047428304
1124854650
1213a72b28
139a979b1
146428520
15426cc6e
hex2d3b2d0

47428304 has 80 divisors (see below), whose sum is σ = 115814016. Its totient is φ = 18278400.

The previous prime is 47428291. The next prime is 47428333. The reversal of 47428304 is 40382474.

47428304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 168644 + ... + 168924.

Almost surely, 247428304 is an apocalyptic number.

47428304 is a gapful number since it is divisible by the number (44) 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 47428304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57907008).

47428304 is an abundant number, since it is smaller than the sum of its proper divisors (68385712).

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

47428304 is a wasteful number, since it uses less digits than its factorization.

47428304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 47428304 is about 6886.8210373147. The cubic root of 47428304 is about 361.9755180171.

The spelling of 47428304 in words is "forty-seven million, four hundred twenty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 137 154 176 274 281 308 548 562 616 959 1096 1124 1232 1507 1918 1967 2192 2248 3014 3091 3836 3934 4496 6028 6182 7672 7868 10549 12056 12364 15344 15736 21098 21637 24112 24728 31472 38497 42196 43274 49456 76994 84392 86548 153988 168784 173096 269479 307976 346192 423467 538958 615952 846934 1077916 1693868 2155832 2964269 3387736 4311664 5928538 6775472 11857076 23714152 47428304