Search a number
-
+
47748928 = 263141587
BaseRepresentation
bin1011011000100…
…1011101000000
310022211220012211
42312021131000
544210431203
64423231504
71116600463
oct266113500
9108756184
1047748928
1124a53527
1213ba8594
139b7a906
1464ad2da
1542d2c6d
hex2d89740

47748928 has 56 divisors (see below), whose sum is σ = 100364544. Its totient is φ = 22502400.

The previous prime is 47748917. The next prime is 47748931. The reversal of 47748928 is 82984774.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 81051 + ... + 81637.

It is an arithmetic number, because the mean of its divisors is an integer number (1792224).

Almost surely, 247748928 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 47748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50182272).

47748928 is an abundant number, since it is smaller than the sum of its proper divisors (52615616).

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

47748928 is a wasteful number, since it uses less digits than its factorization.

47748928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 661 counting only the distinct ones).

The product of its digits is 903168, while the sum is 49.

The square root of 47748928 is about 6910.0599129096. The cubic root of 47748928 is about 362.7893603995.

The spelling of 47748928 in words is "forty-seven million, seven hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 587 656 992 1174 1271 1312 1984 2348 2542 2624 4696 5084 9392 10168 18197 18784 20336 24067 36394 37568 40672 48134 72788 81344 96268 145576 192536 291152 385072 582304 746077 770144 1164608 1492154 1540288 2984308 5968616 11937232 23874464 47748928