[go: up one dir, main page]

Search a number
-
+
52973784 = 23332310663
BaseRepresentation
bin1100101000010…
…1000011011000
310200200100101000
43022011003120
5102030130114
65131225000
71212161343
oct312050330
9120610330
1052973784
11279a1a96
12158a8160
13ac89b46
14706d45a
1549b5e09
hex32850d8

52973784 has 64 divisors (see below), whose sum is σ = 153561600. Its totient is φ = 16888608.

The previous prime is 52973783. The next prime is 52973831. The reversal of 52973784 is 48737925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52973783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364 + ... + 10299.

It is an arithmetic number, because the mean of its divisors is an integer number (2399400).

Almost surely, 252973784 is an apocalyptic number.

52973784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52973784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76780800).

52973784 is an abundant number, since it is smaller than the sum of its proper divisors (100587816).

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

52973784 is a wasteful number, since it uses less digits than its factorization.

52973784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10701 (or 10691 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 52973784 is about 7278.3091442999. The cubic root of 52973784 is about 375.5666313791.

The spelling of 52973784 in words is "fifty-two million, nine hundred seventy-three thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 10663 21326 31989 42652 63978 85304 95967 127956 191934 245249 255912 287901 383868 490498 575802 735747 767736 980996 1151604 1471494 1961992 2207241 2303208 2942988 4414482 5885976 6621723 8828964 13243446 17657928 26486892 52973784