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58053336 = 23311972267
BaseRepresentation
bin1101110101110…
…1001011011000
311001020102012120
43131131023120
5104330201321
65432141240
71303305465
oct335351330
9131212176
1058053336
112a851370
1217537820
13c047bb3
1479d266c
15516aec6
hex375d2d8

58053336 has 64 divisors (see below), whose sum is σ = 160030080. Its totient is φ = 17402880.

The previous prime is 58053313. The next prime is 58053337. The reversal of 58053336 is 63335085.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 58053297 and 58053306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58053337) 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, 24475 + ... + 26741.

It is an arithmetic number, because the mean of its divisors is an integer number (2500470).

Almost surely, 258053336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58053336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80015040).

58053336 is an abundant number, since it is smaller than the sum of its proper divisors (101976744).

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

58053336 is a wasteful number, since it uses less digits than its factorization.

58053336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 58053336 is about 7619.2739811612. The cubic root of 58053336 is about 387.2062812029.

The spelling of 58053336 in words is "fifty-eight million, fifty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 194 264 291 388 582 776 1067 1164 2134 2267 2328 3201 4268 4534 6402 6801 8536 9068 12804 13602 18136 24937 25608 27204 49874 54408 74811 99748 149622 199496 219899 299244 439798 598488 659697 879596 1319394 1759192 2418889 2638788 4837778 5277576 7256667 9675556 14513334 19351112 29026668 58053336