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58894680 = 233513191987
BaseRepresentation
bin1110000010101…
…0100101011000
311002211011022110
43200222211120
5110034112210
65502152320
71313411415
oct340524530
9132734273
1058894680
1130276499
12178826a0
13c280b30
147b7110c
155285420
hex382a958

58894680 has 128 divisors (see below), whose sum is σ = 200390400. Its totient is φ = 13727232.

The previous prime is 58894673. The next prime is 58894687. The reversal of 58894680 is 8649885.

It is an interprime number because it is at equal distance from previous prime (58894673) and next prime (58894687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58894687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28647 + ... + 30633.

It is an arithmetic number, because the mean of its divisors is an integer number (1565550).

Almost surely, 258894680 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 58894680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100195200).

58894680 is an abundant number, since it is smaller than the sum of its proper divisors (141495720).

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

58894680 is a wasteful number, since it uses less digits than its factorization.

58894680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 58894680 is about 7674.2869375597. The cubic root of 58894680 is about 389.0678593317.

The spelling of 58894680 in words is "fifty-eight million, eight hundred ninety-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 1987 2280 2470 2964 3705 3974 4940 5928 5961 7410 7948 9880 9935 11922 14820 15896 19870 23844 25831 29640 29805 37753 39740 47688 51662 59610 75506 77493 79480 103324 113259 119220 129155 151012 154986 188765 206648 226518 238440 258310 302024 309972 377530 387465 453036 490789 516620 566295 619944 755060 774930 906072 981578 1033240 1132590 1472367 1510120 1549860 1963156 2265180 2453945 2944734 3099720 3926312 4530360 4907890 5889468 7361835 9815780 11778936 14723670 19631560 29447340 58894680