Search a number
-
+
53887768 = 23115997107
BaseRepresentation
bin1100110110010…
…0001100011000
310202101210010021
43031210030120
5102243402033
65203000224
71223016124
oct315441430
9122353107
1053887768
1128466750
1216069074
13b219b6c
14722a584
154ae6b2d
hex3364318

53887768 has 64 divisors (see below), whose sum is σ = 114307200. Its totient is φ = 23608320.

The previous prime is 53887759. The next prime is 53887789. The reversal of 53887768 is 86778835.

Its product of digits (2257920) is a multiple of the sum of its prime factors (280).

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 15 ways as a sum of consecutive naturals, for example, 503571 + ... + 503677.

It is an arithmetic number, because the mean of its divisors is an integer number (1786050).

Almost surely, 253887768 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 53887768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57153600).

53887768 is an abundant number, since it is smaller than the sum of its proper divisors (60419432).

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

53887768 is a wasteful number, since it uses less digits than its factorization.

53887768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 52.

The square root of 53887768 is about 7340.8288360375. The cubic root of 53887768 is about 377.7142750880.

The spelling of 53887768 in words is "fifty-three million, eight hundred eighty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 59 88 97 107 118 194 214 236 388 428 472 649 776 856 1067 1177 1298 2134 2354 2596 4268 4708 5192 5723 6313 8536 9416 10379 11446 12626 20758 22892 25252 41516 45784 50504 62953 69443 83032 114169 125906 138886 228338 251812 277772 456676 503624 555544 612361 913352 1224722 2449444 4898888 6735971 13471942 26943884 53887768