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58066372 = 22721321753
BaseRepresentation
bin1101110110000…
…0010111000100
311001021002002101
43131200113010
5104331110442
65432321444
71303361500
oct335402704
9131232071
1058066372
112a860141
1217543284
13c050b00
1479d7300
15516ecb7
hex37605c4

58066372 has 54 divisors (see below), whose sum is σ = 128071818. Its totient is φ = 22958208.

The previous prime is 58066369. The next prime is 58066397. The reversal of 58066372 is 27366085.

It can be written as a sum of positive squares in 3 ways, for example, as 5271616 + 52794756 = 2296^2 + 7266^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32248 + ... + 34000.

Almost surely, 258066372 is an apocalyptic number.

58066372 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 58066372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64035909).

58066372 is an abundant number, since it is smaller than the sum of its proper divisors (70005446).

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

58066372 is a wasteful number, since it uses less digits than its factorization.

58066372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 58066372 is about 7620.1293952268. The cubic root of 58066372 is about 387.2352616983.

The spelling of 58066372 in words is "fifty-eight million, sixty-six thousand, three hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 1753 2366 2548 3506 4732 7012 8281 12271 16562 22789 24542 33124 45578 49084 85897 91156 159523 171794 296257 319046 343588 592514 638092 1116661 1185028 2073799 2233322 4147598 4466644 8295196 14516593 29033186 58066372