Search a number
-
+
47523672 = 2334710477
BaseRepresentation
bin1011010101001…
…0011101011000
310022102110020000
42311102131120
544131224142
64414333000
71114641660
oct265223530
9108373200
1047523672
112490a269
1213aba160
139acc221
1464511a0
15428b14c
hex2d52758

47523672 has 80 divisors (see below), whose sum is σ = 152140560. Its totient is φ = 13576896.

The previous prime is 47523667. The next prime is 47523677. The reversal of 47523672 is 27632574.

It is a happy number.

47523672 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 (47523667) and next prime (47523677).

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 (47523677) 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 19 ways as a sum of consecutive naturals, for example, 703 + ... + 9774.

It is an arithmetic number, because the mean of its divisors is an integer number (1901757).

Almost surely, 247523672 is an apocalyptic number.

47523672 is a gapful number since it is divisible by the number (42) 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 47523672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76070280).

47523672 is an abundant number, since it is smaller than the sum of its proper divisors (104616888).

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

47523672 is a wasteful number, since it uses less digits than its factorization.

47523672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10502 (or 10489 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 47523672 is about 6893.7415095143. The cubic root of 47523672 is about 362.2179735842.

The spelling of 47523672 in words is "forty-seven million, five hundred twenty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 10477 20954 31431 41908 62862 73339 83816 94293 125724 146678 188586 220017 251448 282879 293356 377172 440034 565758 586712 660051 754344 848637 880068 1131516 1320102 1697274 1760136 1980153 2263032 2640204 3394548 3960306 5280408 5940459 6789096 7920612 11880918 15841224 23761836 47523672