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47041488 = 24321321933
BaseRepresentation
bin1011001101110…
…0101111010000
310021111221210100
42303130233100
544020311423
64400132400
71110563124
oct263345720
9107457710
1047041488
112460aa6a
1213907100
139990900
146367584
1541e3343
hex2cdcbd0

47041488 has 90 divisors (see below), whose sum is σ = 142630566. Its totient is φ = 14466816.

The previous prime is 47041481. The next prime is 47041517. The reversal of 47041488 is 88414074.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 46621584 = 648^2 + 6828^2 .

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 (47041481) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23370 + ... + 25302.

Almost surely, 247041488 is an apocalyptic number.

47041488 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 47041488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71315283).

47041488 is an abundant number, since it is smaller than the sum of its proper divisors (95589078).

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

47041488 is a wasteful number, since it uses less digits than its factorization.

47041488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 47041488 is about 6858.6797563379. The cubic root of 47041488 is about 360.9887632928.

The spelling of 47041488 in words is "forty-seven million, forty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 1933 2028 2704 3042 3866 4056 5799 6084 7732 8112 11598 12168 15464 17397 23196 24336 25129 30928 34794 46392 50258 69588 75387 92784 100516 139176 150774 201032 226161 278352 301548 326677 402064 452322 603096 653354 904644 980031 1206192 1306708 1809288 1960062 2613416 2940093 3618576 3920124 5226832 5880186 7840248 11760372 15680496 23520744 47041488