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47023002 = 232131031951
BaseRepresentation
bin1011001101100…
…0001110011010
310021111000102200
42303120032122
544014214002
64355511030
71110455205
oct263301632
9107430380
1047023002
11245a8094
12138b8476
139985380
14636093c
1541dcb1c
hex2cd839a

47023002 has 48 divisors (see below), whose sum is σ = 110842368. Its totient is φ = 14320800.

The previous prime is 47022979. The next prime is 47023021. The reversal of 47023002 is 20032074.

It is a happy number.

47023002 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 2×470230022 = 4422325434184008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 23127 + ... + 25077.

It is an arithmetic number, because the mean of its divisors is an integer number (2309216).

Almost surely, 247023002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47023002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55421184).

47023002 is an abundant number, since it is smaller than the sum of its proper divisors (63819366).

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

47023002 is a wasteful number, since it uses less digits than its factorization.

47023002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 47023002 is about 6857.3319884632. The cubic root of 47023002 is about 360.9414709070.

Adding to 47023002 its reverse (20032074), we get a palindrome (67055076).

The spelling of 47023002 in words is "forty-seven million, twenty-three thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 103 117 206 234 309 618 927 1339 1854 1951 2678 3902 4017 5853 8034 11706 12051 17559 24102 25363 35118 50726 76089 152178 200953 228267 401906 456534 602859 1205718 1808577 2612389 3617154 5224778 7837167 15674334 23511501 47023002