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85449210 = 23571171521
BaseRepresentation
bin1010001011111…
…01100111111010
312221210021021120
411011331213322
5133333333320
612251250110
72055210030
oct505754772
9187707246
1085449210
1144263290
1224749936
131491a782
14b4c4550
15777d440
hex517d9fa

85449210 has 128 divisors (see below), whose sum is σ = 259780608. Its totient is φ = 17472000.

The previous prime is 85449193. The next prime is 85449223. The reversal of 85449210 is 1294458.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163750 + ... + 164270.

It is an arithmetic number, because the mean of its divisors is an integer number (2029536).

Almost surely, 285449210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85449210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129890304).

85449210 is an abundant number, since it is smaller than the sum of its proper divisors (174331398).

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

85449210 is a wasteful number, since it uses less digits than its factorization.

85449210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 85449210 is about 9243.8741878068. The cubic root of 85449210 is about 440.4561557198.

The spelling of 85449210 in words is "eighty-five million, four hundred forty-nine thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 71 77 105 110 142 154 165 210 213 231 330 355 385 426 462 497 521 710 770 781 994 1042 1065 1155 1491 1562 1563 2130 2310 2343 2485 2605 2982 3126 3647 3905 4686 4970 5210 5467 5731 7294 7455 7810 7815 10934 10941 11462 11715 14910 15630 16401 17193 18235 21882 23430 27335 28655 32802 34386 36470 36991 40117 54670 54705 57310 73982 80234 82005 85965 109410 110973 120351 164010 171930 184955 200585 221946 240702 258937 369910 401170 406901 517874 554865 601755 776811 813802 1109730 1203510 1220703 1294685 1553622 2034505 2441406 2589370 2848307 3884055 4069010 5696614 6103515 7768110 8544921 12207030 14241535 17089842 28483070 42724605 85449210