Search a number
-
+
47732272 = 2472107569
BaseRepresentation
bin1011011000010…
…1011000110000
310022211001100221
42312011120300
544204413042
64423022424
71116501100
oct266053060
9108731327
1047732272
1124a41a65
1213b9aa14
139b73163
1464a7200
1542ccd67
hex2d85630

47732272 has 60 divisors (see below), whose sum is σ = 108776520. Its totient is φ = 20229888.

The previous prime is 47732263. The next prime is 47732273. The reversal of 47732272 is 27223774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47732273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83604 + ... + 84172.

It is an arithmetic number, because the mean of its divisors is an integer number (1812942).

Almost surely, 247732272 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 47732272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54388260).

47732272 is an abundant number, since it is smaller than the sum of its proper divisors (61044248).

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

47732272 is a wasteful number, since it uses less digits than its factorization.

47732272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 685 counting only the distinct ones).

The product of its digits is 32928, while the sum is 34.

The square root of 47732272 is about 6908.8546083993. The cubic root of 47732272 is about 362.7471722110.

The spelling of 47732272 in words is "forty-seven million, seven hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 107 112 196 214 392 428 569 749 784 856 1138 1498 1712 2276 2996 3983 4552 5243 5992 7966 9104 10486 11984 15932 20972 27881 31864 41944 55762 60883 63728 83888 111524 121766 223048 243532 426181 446096 487064 852362 974128 1704724 2983267 3409448 5966534 6818896 11933068 23866136 47732272