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85032440 = 2357179379
BaseRepresentation
bin1010001000101…
…11110111111000
312221000002120122
411010113313320
5133232014230
612234312412
72051522663
oct504276770
9187002518
1085032440
1143aa9149
1224588708
1314802b6c
14b4166da
1576e9be5
hex5117df8

85032440 has 64 divisors (see below), whose sum is σ = 196992000. Its totient is φ = 33022080.

The previous prime is 85032439. The next prime is 85032461. The reversal of 85032440 is 4423058.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224171 + ... + 224549.

It is an arithmetic number, because the mean of its divisors is an integer number (3078000).

Almost surely, 285032440 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 85032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98496000).

85032440 is an abundant number, since it is smaller than the sum of its proper divisors (111959560).

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

85032440 is a wasteful number, since it uses less digits than its factorization.

85032440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 85032440 is about 9221.3035954793. The cubic root of 85032440 is about 439.7388946720.

Adding to 85032440 its reverse (4423058), we get a palindrome (89455498).

The spelling of 85032440 in words is "eighty-five million, thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 79 142 158 284 316 355 379 395 568 632 710 758 790 1420 1516 1580 1895 2840 3032 3160 3790 5609 7580 11218 15160 22436 26909 28045 29941 44872 53818 56090 59882 107636 112180 119764 134545 149705 215272 224360 239528 269090 299410 538180 598820 1076360 1197640 2125811 4251622 8503244 10629055 17006488 21258110 42516220 85032440