Search a number
-
+
47951120 = 245785627
BaseRepresentation
bin1011011011101…
…0110100010000
310100020011120102
42312322310100
544233413440
64431431532
71121402120
oct266726420
9110204512
1047951120
1125081428
12140855a8
139c1b959
146522c80
154322b15
hex2dbad10

47951120 has 40 divisors (see below), whose sum is σ = 127414464. Its totient is φ = 16440192.

The previous prime is 47951089. The next prime is 47951131. The reversal of 47951120 is 2115974.

47951120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 42254 + ... + 43373.

Almost surely, 247951120 is an apocalyptic number.

47951120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47951120 is an abundant number, since it is smaller than the sum of its proper divisors (79463344).

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

47951120 is a wasteful number, since it uses less digits than its factorization.

47951120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85647 (or 85641 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 47951120 is about 6924.6747216025. The cubic root of 47951120 is about 363.3007143701.

The spelling of 47951120 in words is "forty-seven million, nine hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 85627 171254 342508 428135 599389 685016 856270 1198778 1370032 1712540 2397556 2996945 3425080 4795112 5993890 6850160 9590224 11987780 23975560 47951120