Search a number
-
+
47679768 = 2332976827
BaseRepresentation
bin1011010111100…
…0100100011000
310022201101100100
42311320210120
544201223033
64421535400
71116162033
oct265704430
9108641310
1047679768
1124a06574
1213b74560
139b552a6
14649201a
1542bc513
hex2d78918

47679768 has 48 divisors (see below), whose sum is σ = 130483080. Its totient is φ = 15727104.

The previous prime is 47679763. The next prime is 47679787. The reversal of 47679768 is 86797674.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47679763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3571 + ... + 10397.

Almost surely, 247679768 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 47679768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65241540).

47679768 is an abundant number, since it is smaller than the sum of its proper divisors (82803312).

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

47679768 is a wasteful number, since it uses less digits than its factorization.

47679768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6936 (or 6929 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 47679768 is about 6905.0538013834. The cubic root of 47679768 is about 362.6141199159.

It can be divided in two parts, 4767 and 9768, that added together give a triangular number (14535 = T170).

The spelling of 47679768 in words is "forty-seven million, six hundred seventy-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6827 6984 13654 20481 27308 40962 54616 61443 81924 122886 163848 245772 491544 662219 1324438 1986657 2648876 3973314 5297752 5959971 7946628 11919942 15893256 23839884 47679768