Search a number
-
+
52594164 = 2233773953
BaseRepresentation
bin1100100010100…
…0010111110100
310122222001122000
43020220113310
5101431003124
65115135300
71206020520
oct310502764
9118861560
1052594164
1127762857
1215744530
13ab8610c
146db0d80
15493d6c9
hex32285f4

52594164 has 96 divisors (see below), whose sum is σ = 158135040. Its totient is φ = 14805504.

The previous prime is 52594159. The next prime is 52594177. The reversal of 52594164 is 46149525.

52594164 is a `hidden beast` number, since 5 + 2 + 594 + 1 + 64 = 666.

It is a super-2 number, since 2×525941642 = 5532292173717792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54712 + ... + 55664.

It is an arithmetic number, because the mean of its divisors is an integer number (1647240).

Almost surely, 252594164 is an apocalyptic number.

52594164 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 52594164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79067520).

52594164 is an abundant number, since it is smaller than the sum of its proper divisors (105540876).

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

52594164 is a wasteful number, since it uses less digits than its factorization.

52594164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1038 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 52594164 is about 7252.1833953645. The cubic root of 52594164 is about 374.6673530099.

The spelling of 52594164 in words is "fifty-two million, five hundred ninety-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 84 108 126 146 189 219 252 292 378 438 511 657 756 876 953 1022 1314 1533 1906 1971 2044 2628 2859 3066 3812 3942 4599 5718 6132 6671 7884 8577 9198 11436 13342 13797 17154 18396 20013 25731 26684 27594 34308 40026 51462 55188 60039 69569 80052 102924 120078 139138 180117 208707 240156 278276 360234 417414 486983 626121 720468 834828 973966 1252242 1460949 1878363 1947932 2504484 2921898 3756726 4382847 5843796 7513452 8765694 13148541 17531388 26297082 52594164