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47923148 = 22713312137
BaseRepresentation
bin1011011011001…
…1111111001100
310100011202012102
42312303333030
544232020043
64431054232
71121224430
oct266637714
9110152172
1047923148
1125062409
1214071378
139c0bcc0
1465169c0
1543196b8
hex2db3fcc

47923148 has 72 divisors (see below), whose sum is σ = 107434656. Its totient is φ = 18213120.

The previous prime is 47923147. The next prime is 47923171. The reversal of 47923148 is 84132974.

It is a super-2 number, since 2×479231482 = 4593256228459808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47923147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349736 + ... + 349872.

It is an arithmetic number, because the mean of its divisors is an integer number (1492148).

Almost surely, 247923148 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 47923148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53717328).

47923148 is an abundant number, since it is smaller than the sum of its proper divisors (59511508).

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

47923148 is a wasteful number, since it uses less digits than its factorization.

47923148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 190 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 47923148 is about 6922.6546931073. The cubic root of 47923148 is about 363.2300575272.

The spelling of 47923148 in words is "forty-seven million, nine hundred twenty-three thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 137 182 217 274 364 403 434 548 806 868 959 961 1612 1781 1918 1922 2821 3562 3836 3844 4247 5642 6727 7124 8494 11284 12467 12493 13454 16988 24934 24986 26908 29729 49868 49972 55211 59458 87451 110422 118916 131657 174902 220844 263314 349804 386477 526628 772954 921599 1545908 1711541 1843198 3423082 3686396 6846164 11980787 23961574 47923148