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85037484 = 22378312197
BaseRepresentation
bin1010001000110…
…01000110101100
312221000100111110
411010121012230
5133232144414
612234352020
72051543460
oct504310654
9187010443
1085037484
1144001a14
122458b610
131480524c
14b4184a0
1576eb459
hex51191ac

85037484 has 48 divisors (see below), whose sum is σ = 229517568. Its totient is φ = 24001728.

The previous prime is 85037473. The next prime is 85037489. The reversal of 85037484 is 48473058.

It is not an unprimeable number, because it can be changed into a prime (85037489) 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, 874 + ... + 13070.

It is an arithmetic number, because the mean of its divisors is an integer number (4781616).

Almost surely, 285037484 is an apocalyptic number.

85037484 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 85037484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114758784).

85037484 is an abundant number, since it is smaller than the sum of its proper divisors (144480084).

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

85037484 is a wasteful number, since it uses less digits than its factorization.

85037484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12294 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 85037484 is about 9221.5770885462. The cubic root of 85037484 is about 439.7475893895.

The spelling of 85037484 in words is "eighty-five million, thirty-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 3486 6972 12197 24394 36591 48788 73182 85379 146364 170758 256137 341516 512274 1012351 1024548 2024702 3037053 4049404 6074106 7086457 12148212 14172914 21259371 28345828 42518742 85037484