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58047990 = 235711131933
BaseRepresentation
bin1101110101101…
…1110111110110
311001020010212120
43131123313312
5104330013430
65432100410
71303254060
oct335336766
9131203776
1058047990
112a848350
1217534706
13c045630
1479d0730
155169610
hex375bdf6

58047990 has 128 divisors (see below), whose sum is σ = 187149312. Its totient is φ = 11128320.

The previous prime is 58047973. The next prime is 58047991. The reversal of 58047990 is 9974085.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58047991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29064 + ... + 30996.

It is an arithmetic number, because the mean of its divisors is an integer number (1462104).

Almost surely, 258047990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58047990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93574656).

58047990 is an abundant number, since it is smaller than the sum of its proper divisors (129101322).

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

58047990 is a wasteful number, since it uses less digits than its factorization.

58047990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 58047990 is about 7618.9231522571. The cubic root of 58047990 is about 387.1943951887.

The spelling of 58047990 in words is "fifty-eight million, forty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 1933 2002 2145 2310 2730 3003 3866 4290 5005 5799 6006 9665 10010 11598 13531 15015 19330 21263 25129 27062 28995 30030 40593 42526 50258 57990 63789 67655 75387 81186 106315 125645 127578 135310 148841 150774 175903 202965 212630 251290 276419 297682 318945 351806 376935 405930 446523 527709 552838 637890 744205 753870 829257 879515 893046 1055418 1382095 1488410 1658514 1759030 1934933 2232615 2638545 2764190 3869866 4146285 4465230 5277090 5804799 8292570 9674665 11609598 19349330 29023995 58047990