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58087488 = 2634147157
BaseRepresentation
bin1101110110010…
…1100001000000
311001022011001110
43131211201000
5104332244423
65433003320
71303510164
oct335454100
9131264043
1058087488
112a874a98
1217553540
13c05a5c4
147a00ca4
155176193
hex3765840

58087488 has 112 divisors (see below), whose sum is σ = 161812224. Its totient is φ = 18370560.

The previous prime is 58087483. The next prime is 58087531. The reversal of 58087488 is 88478085.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (58087481) 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 15 ways as a sum of consecutive naturals, for example, 369906 + ... + 370062.

It is an arithmetic number, because the mean of its divisors is an integer number (1444752).

Almost surely, 258087488 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 58087488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80906112).

58087488 is an abundant number, since it is smaller than the sum of its proper divisors (103724736).

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

58087488 is a wasteful number, since it uses less digits than its factorization.

58087488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The square root of 58087488 is about 7621.5148100624. The cubic root of 58087488 is about 387.2821957413.

The spelling of 58087488 in words is "fifty-eight million, eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 47 48 64 82 94 96 123 141 157 164 188 192 246 282 314 328 376 471 492 564 628 656 752 942 984 1128 1256 1312 1504 1884 1927 1968 2256 2512 2624 3008 3768 3854 3936 4512 5024 5781 6437 7379 7536 7708 7872 9024 10048 11562 12874 14758 15072 15416 19311 22137 23124 25748 29516 30144 30832 38622 44274 46248 51496 59032 61664 77244 88548 92496 102992 118064 123328 154488 177096 184992 205984 236128 302539 308976 354192 369984 411968 472256 605078 617952 708384 907617 1210156 1235904 1416768 1815234 2420312 3630468 4840624 7260936 9681248 14521872 19362496 29043744 58087488