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5085440 = 28529137
BaseRepresentation
bin10011011001100100000000
3100120100220122
4103121210000
52300213230
6300555412
761140233
oct23314400
910510818
105085440
112963848
121852b68
131090949
1496541a
156a6be5
hex4d9900

5085440 has 72 divisors (see below), whose sum is σ = 12693240. Its totient is φ = 1949696.

The previous prime is 5085439. The next prime is 5085449. The reversal of 5085440 is 445805.

It can be written as a sum of positive squares in 4 ways, for example, as 692224 + 4393216 = 832^2 + 2096^2 .

It is not an unprimeable number, because it can be changed into a prime (5085449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37052 + ... + 37188.

It is an arithmetic number, because the mean of its divisors is an integer number (176295).

Almost surely, 25085440 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 5085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346620).

5085440 is an abundant number, since it is smaller than the sum of its proper divisors (7607800).

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

5085440 is a wasteful number, since it uses less digits than its factorization.

5085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 5085440 is about 2255.0920158610. The cubic root of 5085440 is about 171.9661011255.

The spelling of 5085440 in words is "five million, eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 137 145 160 232 256 274 290 320 464 548 580 640 685 928 1096 1160 1280 1370 1856 2192 2320 2740 3712 3973 4384 4640 5480 7424 7946 8768 9280 10960 15892 17536 18560 19865 21920 31784 35072 37120 39730 43840 63568 79460 87680 127136 158920 175360 254272 317840 508544 635680 1017088 1271360 2542720 5085440