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85148784 = 24327174969
BaseRepresentation
bin1010001001101…
…00010001110000
312221020000011200
411010310101300
5133244230114
612241011200
72052516120
oct504642160
9187200150
1085148784
11440785a6
1224623b00
1314843ac6
14b446c80
15771e409
hex5134470

85148784 has 120 divisors (see below), whose sum is σ = 288419040. Its totient is φ = 22892544.

The previous prime is 85148753. The next prime is 85148797. The reversal of 85148784 is 48784158.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14652 + ... + 19620.

It is an arithmetic number, because the mean of its divisors is an integer number (2403492).

Almost surely, 285148784 is an apocalyptic number.

85148784 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85148784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144209520).

85148784 is an abundant number, since it is smaller than the sum of its proper divisors (203270256).

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

85148784 is a wasteful number, since it uses less digits than its factorization.

85148784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 4998 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 85148784 is about 9227.6098747184. The cubic root of 85148784 is about 439.9393580337.

The spelling of 85148784 in words is "eighty-five million, one hundred forty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 4969 5712 8568 9938 14907 17136 19876 29814 34783 39752 44721 59628 69566 79504 84473 89442 104349 119256 139132 168946 178884 208698 238512 253419 278264 313047 337892 357768 417396 506838 556528 591311 626094 675784 715536 760257 834792 1013676 1182622 1252188 1351568 1520514 1669584 1773933 2027352 2365244 2504376 3041028 3547866 4054704 4730488 5008752 5321799 6082056 7095732 9460976 10643598 12164112 14191464 21287196 28382928 42574392 85148784