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58234368 = 293311223
BaseRepresentation
bin1101111000100…
…1011000000000
311001120121112110
43132021120000
5104401444433
65440055320
71304661333
oct336113000
9131517473
1058234368
112a965385
1217604540
13c0ac40a
147a3c61a
1551a4963
hex3789600

58234368 has 80 divisors (see below), whose sum is σ = 160275456. Its totient is φ = 18769920.

The previous prime is 58234361. The next prime is 58234369. The reversal of 58234368 is 86343285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58234361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47005 + ... + 48227.

Almost surely, 258234368 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 58234368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80137728).

58234368 is an abundant number, since it is smaller than the sum of its proper divisors (102041088).

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

58234368 is a wasteful number, since it uses less digits than its factorization.

58234368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1259 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 58234368 is about 7631.1446061518. The cubic root of 58234368 is about 387.6083481968.

The spelling of 58234368 in words is "fifty-eight million, two hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1223 1488 1536 1984 2446 2976 3669 3968 4892 5952 7338 7936 9784 11904 14676 15872 19568 23808 29352 37913 39136 47616 58704 75826 78272 113739 117408 151652 156544 227478 234816 303304 313088 454956 469632 606608 626176 909912 939264 1213216 1819824 1878528 2426432 3639648 4852864 7279296 9705728 14558592 19411456 29117184 58234368