Search a number
-
+
47977293 = 3713436167
BaseRepresentation
bin1011011100000…
…1001101001101
310100021111110210
42313001031031
544240233133
64432153033
71121541330
oct267011515
9110244423
1047977293
112509a061
1214098779
139c2a840
14652c617
15432a763
hex2dc134d

47977293 has 64 divisors (see below), whose sum is σ = 83105792. Its totient is φ = 23950080.

The previous prime is 47977277. The next prime is 47977301. The reversal of 47977293 is 39277974.

It is a happy number.

47977293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 47977293 - 24 = 47977277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47977393) 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 63 ways as a sum of consecutive naturals, for example, 716046 + ... + 716112.

It is an arithmetic number, because the mean of its divisors is an integer number (1298528).

Almost surely, 247977293 is an apocalyptic number.

47977293 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

47977293 is a deficient number, since it is larger than the sum of its proper divisors (35128499).

47977293 is a wasteful number, since it uses less digits than its factorization.

47977293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194.

The product of its digits is 666792, while the sum is 48.

The square root of 47977293 is about 6926.5642998531. The cubic root of 47977293 is about 363.3668020867.

It can be divided in two parts, 4797 and 7293, that added together give a triangular number (12090 = T155).

The spelling of 47977293 in words is "forty-seven million, nine hundred seventy-seven thousand, two hundred ninety-three".

Divisors: 1 3 7 13 21 39 43 61 67 91 129 183 201 273 301 427 469 559 793 871 903 1281 1407 1677 2379 2613 2623 2881 3913 4087 5551 6097 7869 8643 11739 12261 16653 18291 18361 20167 28609 34099 37453 53131 55083 60501 85827 102297 112359 159393 175741 238693 262171 371917 527223 716079 786513 1115751 1230187 2284633 3690561 6853899 15992431 47977293