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58348368 = 24321371439
BaseRepresentation
bin1101111010010…
…1001101010000
311001210101220200
43132211031100
5104414121433
65442335200
71305644601
oct336451520
9131711820
1058348368
112aa32aa1
121765a500
13c11c280
147a6bda8
1551c8613
hex37a5350

58348368 has 120 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 17660160.

The previous prime is 58348351. The next prime is 58348379. The reversal of 58348368 is 86384385.

58348368 is a `hidden beast` number, since 583 + 4 + 8 + 3 + 68 = 666.

58348368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 132693 + ... + 133131.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 258348368 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 58348368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

58348368 is an abundant number, since it is smaller than the sum of its proper divisors (120390192).

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

58348368 is a wasteful number, since it uses less digits than its factorization.

58348368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 528 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 58348368 is about 7638.6103448206. The cubic root of 58348368 is about 387.8611115889.

The spelling of 58348368 in words is "fifty-eight million, three hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 71 72 78 104 117 142 144 156 208 213 234 284 312 426 439 468 568 624 639 852 878 923 936 1136 1278 1317 1704 1756 1846 1872 2556 2634 2769 3408 3512 3692 3951 5112 5268 5538 5707 7024 7384 7902 8307 10224 10536 11076 11414 14768 15804 16614 17121 21072 22152 22828 31169 31608 33228 34242 44304 45656 51363 62338 63216 66456 68484 91312 93507 102726 124676 132912 136968 187014 205452 249352 273936 280521 374028 405197 410904 498704 561042 748056 810394 821808 1122084 1215591 1496112 1620788 2244168 2431182 3241576 3646773 4488336 4862364 6483152 7293546 9724728 14587092 19449456 29174184 58348368