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5874408 = 233283983
BaseRepresentation
bin10110011010001011101000
3102001110011200
4112122023220
53000440113
6325524200
7100634361
oct26321350
912043150
105874408
113352591
121b73660
1312a8aa7
14accb68
157b0873
hex59a2e8

5874408 has 48 divisors (see below), whose sum is σ = 16117920. Its totient is φ = 1932576.

The previous prime is 5874403. The next prime is 5874419. The reversal of 5874408 is 8044785.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5874403) 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 11 ways as a sum of consecutive naturals, for example, 5485 + ... + 6467.

It is an arithmetic number, because the mean of its divisors is an integer number (335790).

Almost surely, 25874408 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 5874408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058960).

5874408 is an abundant number, since it is smaller than the sum of its proper divisors (10243512).

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

5874408 is a wasteful number, since it uses less digits than its factorization.

5874408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5874408 is about 2423.7178053561. The cubic root of 5874408 is about 180.4352430231.

The spelling of 5874408 in words is "five million, eight hundred seventy-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 983 996 1494 1966 1992 2949 2988 3932 5898 5976 7864 8847 11796 17694 23592 35388 70776 81589 163178 244767 326356 489534 652712 734301 979068 1468602 1958136 2937204 5874408