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58265440 = 2552371223
BaseRepresentation
bin1101111001000…
…0111101100000
311001122012011021
43132100331200
5104403443230
65440455224
71305151042
oct336207540
9131565137
1058265440
112a986762
121761a514
13c0c05bc
147a49a92
1551adc7a
hex3790f60

58265440 has 96 divisors (see below), whose sum is σ = 146313216. Its totient is φ = 21880320.

The previous prime is 58265429. The next prime is 58265479. The reversal of 58265440 is 4456285.

58265440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×582654402 = 6789722996787200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58265396 and 58265405.

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 15 ways as a sum of consecutive naturals, for example, 261169 + ... + 261391.

It is an arithmetic number, because the mean of its divisors is an integer number (1524096).

Almost surely, 258265440 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 58265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73156608).

58265440 is an abundant number, since it is smaller than the sum of its proper divisors (88047776).

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

58265440 is a wasteful number, since it uses less digits than its factorization.

58265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 58265440 is about 7633.1802022486. The cubic root of 58265440 is about 387.6772744201.

The spelling of 58265440 in words is "fifty-eight million, two hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 71 80 92 115 142 160 184 223 230 284 355 368 446 460 568 710 736 892 920 1115 1136 1420 1633 1784 1840 2230 2272 2840 3266 3568 3680 4460 5129 5680 6532 7136 8165 8920 10258 11360 13064 15833 16330 17840 20516 25645 26128 31666 32660 35680 41032 51290 52256 63332 65320 79165 82064 102580 126664 130640 158330 164128 205160 253328 261280 316660 364159 410320 506656 633320 728318 820640 1266640 1456636 1820795 2533280 2913272 3641590 5826544 7283180 11653088 14566360 29132720 58265440