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47093472 = 25321011619
BaseRepresentation
bin1011001110100…
…1011011100000
310021121121002200
42303221123200
544023442342
64401213200
71111200516
oct263513340
9107547080
1047093472
1124646028
1213931200
1399ab47a
14637c4b6
15420394c
hex2ce96e0

47093472 has 72 divisors (see below), whose sum is σ = 135331560. Its totient is φ = 15532800.

The previous prime is 47093467. The next prime is 47093503. The reversal of 47093472 is 27439074.

47093472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×470934723 (a number of 24 digits) contains 333 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 28279 + ... + 29897.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 247093472 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 47093472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67665780).

47093472 is an abundant number, since it is smaller than the sum of its proper divisors (88238088).

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

47093472 is a wasteful number, since it uses less digits than its factorization.

47093472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 47093472 is about 6862.4683605828. The cubic root of 47093472 is about 361.1216866085.

The spelling of 47093472 in words is "forty-seven million, ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1619 1818 2424 3232 3238 3636 4848 4857 6476 7272 9696 9714 12952 14544 14571 19428 25904 29088 29142 38856 51808 58284 77712 116568 155424 163519 233136 327038 466272 490557 654076 981114 1308152 1471671 1962228 2616304 2943342 3924456 5232608 5886684 7848912 11773368 15697824 23546736 47093472