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58267104 = 2537312797
BaseRepresentation
bin1101111001000…
…1010111100000
311001122021102220
43132101113200
5104404021404
65440511040
71305155640
oct336212740
9131567386
1058267104
112a987a35
121761b480
13c0c129c
147a4a520
1551ae4d9
hex37915e0

58267104 has 96 divisors (see below), whose sum is σ = 180504576. Its totient is φ = 16104960.

The previous prime is 58267103. The next prime is 58267117. The reversal of 58267104 is 40176285.

58267104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58267103) by changing a digit.

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, 19434 + ... + 22230.

It is an arithmetic number, because the mean of its divisors is an integer number (1880256).

Almost surely, 258267104 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 58267104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90252288).

58267104 is an abundant number, since it is smaller than the sum of its proper divisors (122237472).

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

58267104 is a wasteful number, since it uses less digits than its factorization.

58267104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 58267104 is about 7633.2891992902. The cubic root of 58267104 is about 387.6809649374.

The spelling of 58267104 in words is "fifty-eight million, two hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2797 2976 3472 5208 5594 6944 8391 10416 11188 16782 19579 20832 22376 33564 39158 44752 58737 67128 78316 86707 89504 117474 134256 156632 173414 234948 260121 268512 313264 346828 469896 520242 606949 626528 693656 939792 1040484 1213898 1387312 1820847 1879584 2080968 2427796 2774624 3641694 4161936 4855592 7283388 8323872 9711184 14566776 19422368 29133552 58267104