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47444368 = 2419239653
BaseRepresentation
bin1011010011111…
…1000110010000
310022021102102211
42310333012100
544121204433
64412521504
71114161526
oct264770620
9108242384
1047444368
1124865724
1213a80294
139aa20ba
146430316
1542728cd
hex2d3f190

47444368 has 40 divisors (see below), whose sum is σ = 97315200. Its totient is φ = 22345344.

The previous prime is 47444347. The next prime is 47444389. The reversal of 47444368 is 86344474.

47444368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47444347) and next prime (47444389).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47444368.

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 7 ways as a sum of consecutive naturals, for example, 72330 + ... + 72982.

It is an arithmetic number, because the mean of its divisors is an integer number (2432880).

Almost surely, 247444368 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 47444368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48657600).

47444368 is an abundant number, since it is smaller than the sum of its proper divisors (49870832).

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

47444368 is a wasteful number, since it uses less digits than its factorization.

47444368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its digits is 258048, while the sum is 40.

The square root of 47444368 is about 6887.9872241461. The cubic root of 47444368 is about 362.0163805251.

The spelling of 47444368 in words is "forty-seven million, four hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 239 304 478 653 956 1306 1912 2612 3824 4541 5224 9082 10448 12407 18164 24814 36328 49628 72656 99256 156067 198512 312134 624268 1248536 2497072 2965273 5930546 11861092 23722184 47444368