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85035480 = 23353122859
BaseRepresentation
bin1010001000110…
…00100111011000
312221000020202020
411010120213120
5133232113410
612234334440
72051534565
oct504304730
9187006666
1085035480
1144000462
122458a420
131480436a
14b41786c
1576eaa70
hex51189d8

85035480 has 64 divisors (see below), whose sum is σ = 263347200. Its totient is φ = 21943680.

The previous prime is 85035463. The next prime is 85035481. The reversal of 85035480 is 8453058.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85035481) 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, 7710 + ... + 15149.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 285035480 is an apocalyptic number.

It is an amenable number.

85035480 is an abundant number, since it is smaller than the sum of its proper divisors (178311720).

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

85035480 is a wasteful number, since it uses less digits than its factorization.

85035480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22904 (or 22900 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 85035480 is about 9221.4684297025. The cubic root of 85035480 is about 439.7441349870.

The spelling of 85035480 in words is "eighty-five million, thirty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 22859 45718 68577 91436 114295 137154 182872 228590 274308 342885 457180 548616 685770 708629 914360 1371540 1417258 2125887 2743080 2834516 3543145 4251774 5669032 7086290 8503548 10629435 14172580 17007096 21258870 28345160 42517740 85035480