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87484625284 = 22723725712
BaseRepresentation
bin101000101111001111…
…1010111000110000100
322100210221202102200211
41101132133113012010
52413132031002114
6104105003045204
76214644021400
oct1213637270604
9270727672624
1087484625284
1134113876911
1214b56510804
13833296ba84
14433cc08100
1524206156c4
hex145e7d7184

87484625284 has 81 divisors (see below), whose sum is σ = 183358251909. Its totient is φ = 36416187360.

The previous prime is 87484625237. The next prime is 87484625287. The reversal of 87484625284 is 48252648478.

The square root of 87484625284 is 295778.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78282444100 + 9202181184 = 279790^2 + 95928^2 .

It is a super-2 number, since 2×874846252842 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87484625287) 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 26 ways as a sum of consecutive naturals, for example, 153212719 + ... + 153213289.

Almost surely, 287484625284 is an apocalyptic number.

87484625284 is the 295778-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87484625284

87484625284 is an abundant number, since it is smaller than the sum of its proper divisors (95873626625).

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

87484625284 is an equidigital number, since it uses as much as digits as its factorization.

87484625284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 617 counting only the distinct ones).

The product of its digits is 27525120, while the sum is 58.

The spelling of 87484625284 in words is "eighty-seven billion, four hundred eighty-four million, six hundred twenty-five thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 571 1036 1142 1369 1813 2284 2738 3626 3997 5476 7252 7994 9583 15988 19166 21127 27979 38332 42254 55958 67081 84508 111916 134162 147889 268324 295778 326041 591556 652082 781699 1035223 1304164 1563398 2070446 2282287 3126796 4140892 4564574 5471893 9129148 10943786 12063517 15976009 21887572 24127034 31952018 38303251 48254068 63904036 76606502 84444619 153213004 168889238 337778476 446350129 591112333 892700258 1182224666 1785400516 2364449332 3124450903 6248901806 12497803612 21871156321 43742312642 87484625284