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58348136 = 23711279109
BaseRepresentation
bin1101111010010…
…1001001101000
311001210101121002
43132211021220
5104414120021
65442334132
71305644120
oct336451150
9131711532
1058348136
112aa32900
121765a348
13c11c132
147a6bc80
1551c850b
hex37a5268

58348136 has 96 divisors (see below), whose sum is σ = 140448000. Its totient is φ = 22239360.

The previous prime is 58348127. The next prime is 58348141. The reversal of 58348136 is 63184385.

58348136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 58348136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535250 + ... + 535358.

It is an arithmetic number, because the mean of its divisors is an integer number (1463000).

Almost surely, 258348136 is an apocalyptic number.

58348136 is a gapful number since it is divisible by the number (56) 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 58348136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70224000).

58348136 is an abundant number, since it is smaller than the sum of its proper divisors (82099864).

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

58348136 is a wasteful number, since it uses less digits than its factorization.

58348136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 58348136 is about 7638.5951587972. The cubic root of 58348136 is about 387.8605975277.

The spelling of 58348136 in words is "fifty-eight million, three hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 79 88 109 121 154 158 218 242 308 316 436 484 553 616 632 763 847 869 872 968 1106 1199 1526 1694 1738 2212 2398 3052 3388 3476 4424 4796 6083 6104 6776 6952 8393 8611 9559 9592 12166 13189 16786 17222 19118 24332 26378 33572 34444 38236 48664 52756 60277 66913 67144 68888 76472 92323 94721 105512 120554 133826 184646 189442 241108 267652 369292 378884 482216 535304 663047 738584 757768 1041931 1326094 2083862 2652188 4167724 5304376 7293517 8335448 14587034 29174068 58348136