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58972212 = 2235132359
BaseRepresentation
bin1110000011110…
…1100000110100
311002222002200000
43200331200310
5110044102322
65503551300
71314153435
oct340754064
9132862600
1058972212
1130319772
12178bb530
13c2aa200
147b9148c
15529d3ac
hex383d834

58972212 has 108 divisors (see below), whose sum is σ = 167862240. Its totient is φ = 18094752.

The previous prime is 58972189. The next prime is 58972213. The reversal of 58972212 is 21227985.

58972212 is a `hidden beast` number, since 589 + 72 + 2 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58972213) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164089 + ... + 164447.

It is an arithmetic number, because the mean of its divisors is an integer number (1554280).

Almost surely, 258972212 is an apocalyptic number.

58972212 is a gapful number since it is divisible by the number (52) 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 58972212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83931120).

58972212 is an abundant number, since it is smaller than the sum of its proper divisors (108890028).

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

58972212 is a wasteful number, since it uses less digits than its factorization.

58972212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 377 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 58972212 is about 7679.3366901055. The cubic root of 58972212 is about 389.2385141454.

The spelling of 58972212 in words is "fifty-eight million, nine hundred seventy-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 243 324 338 351 359 468 486 507 676 702 718 972 1014 1053 1077 1404 1436 1521 2028 2106 2154 3042 3159 3231 4212 4308 4563 4667 6084 6318 6462 9126 9334 9693 12636 12924 13689 14001 18252 18668 19386 27378 28002 29079 38772 41067 42003 54756 56004 58158 60671 82134 84006 87237 116316 121342 126009 164268 168012 174474 182013 242684 252018 348948 364026 378027 504036 546039 728052 756054 1092078 1134081 1512108 1638117 2184156 2268162 3276234 4536324 4914351 6552468 9828702 14743053 19657404 29486106 58972212