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58225232 = 2413261353
BaseRepresentation
bin1101111000011…
…1001001010000
311001120011000002
43132013021100
5104401201412
65435545132
71304622602
oct336071120
9131504002
1058225232
112a95952a
12175bb1a8
13c0a8200
147a39172
1551a1dc2
hex3787250

58225232 has 60 divisors (see below), whose sum is σ = 124511004. Its totient is φ = 26357760.

The previous prime is 58225231. The next prime is 58225241. The reversal of 58225232 is 23252285.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 26460736 + 31764496 = 5144^2 + 5636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 58225195 and 58225204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58225231) 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, 164768 + ... + 165120.

Almost surely, 258225232 is an apocalyptic number.

58225232 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 58225232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62255502).

58225232 is an abundant number, since it is smaller than the sum of its proper divisors (66285772).

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

58225232 is a wasteful number, since it uses less digits than its factorization.

58225232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its digits is 9600, while the sum is 29.

The square root of 58225232 is about 7630.5459830867. The cubic root of 58225232 is about 387.5880773774.

The spelling of 58225232 in words is "fifty-eight million, two hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 169 208 244 338 353 488 676 706 793 976 1352 1412 1586 2704 2824 3172 4589 5648 6344 9178 10309 12688 18356 20618 21533 36712 41236 43066 59657 73424 82472 86132 119314 164944 172264 238628 279929 344528 477256 559858 954512 1119716 2239432 3639077 4478864 7278154 14556308 29112616 58225232