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74881040 = 2451389809
BaseRepresentation
bin1000111011010…
…01100000010000
312012220100110212
410131221200100
5123132143130
611232543252
71566323033
oct435514020
9165810425
1074881040
11392a5263
12210b1b28
131268a410
149d3301a
156891e95
hex4769810

74881040 has 80 divisors (see below), whose sum is σ = 189831600. Its totient is φ = 27303936.

The previous prime is 74881021. The next prime is 74881043. The reversal of 74881040 is 4018847.

It can be written as a sum of positive squares in 8 ways, for example, as 3444736 + 71436304 = 1856^2 + 8452^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 74880988 and 74881006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74881043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92156 + ... + 92964.

It is an arithmetic number, because the mean of its divisors is an integer number (2372895).

Almost surely, 274881040 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 74881040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94915800).

74881040 is an abundant number, since it is smaller than the sum of its proper divisors (114950560).

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

74881040 is a wasteful number, since it uses less digits than its factorization.

74881040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 74881040 is about 8653.3831534262. The cubic root of 74881040 is about 421.4932485514.

Adding to 74881040 its reverse (4018847), we get a palindrome (78899887).

The spelling of 74881040 in words is "seventy-four million, eight hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 89 104 130 178 208 260 356 445 520 712 809 890 1040 1157 1424 1618 1780 2314 3236 3560 4045 4628 5785 6472 7120 8090 9256 10517 11570 12944 16180 18512 21034 23140 32360 42068 46280 52585 64720 72001 84136 92560 105170 144002 168272 210340 288004 360005 420680 576008 720010 841360 936013 1152016 1440020 1872026 2880040 3744052 4680065 5760080 7488104 9360130 14976208 18720260 37440520 74881040