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47002472 = 2311796761
BaseRepresentation
bin1011001101001…
…1001101101000
310021102222021022
42303103031220
544013034342
64355232012
71110341306
oct263231550
9107388238
1047002472
1124593720
12138a8608
139978c1a
146357276
1541d69d2
hex2cd3368

47002472 has 32 divisors (see below), whose sum is σ = 97372800. Its totient is φ = 21091200.

The previous prime is 47002453. The next prime is 47002477. The reversal of 47002472 is 27420074.

47002472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×470024722 = 4418464748221568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47002477) by changing a digit.

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, 3572 + ... + 10332.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 247002472 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 47002472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48686400).

47002472 is an abundant number, since it is smaller than the sum of its proper divisors (50370328).

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

47002472 is a wasteful number, since it uses less digits than its factorization.

47002472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 47002472 is about 6855.8348871600. The cubic root of 47002472 is about 360.8889348661. Note that the first 3 decimals are identical.

It can be divided in two parts, 47002 and 472, that added together give a palindrome (47474).

The spelling of 47002472 in words is "forty-seven million, two thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 632 869 1738 3476 6761 6952 13522 27044 54088 74371 148742 297484 534119 594968 1068238 2136476 4272952 5875309 11750618 23501236 47002472