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5444376 = 2337231409
BaseRepresentation
bin10100110001001100011000
3101020121021120
4110301030120
52343210001
6312405240
764163550
oct24611430
911217246
105444376
113089493
1219a6820
131188132
14a1a160
15728236
hex531318

5444376 has 64 divisors (see below), whose sum is σ = 16243200. Its totient is φ = 1486848.

The previous prime is 5444371. The next prime is 5444381. The reversal of 5444376 is 6734445.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5444371) and next prime (5444381).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5444371) 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, 3160 + ... + 4568.

It is an arithmetic number, because the mean of its divisors is an integer number (253800).

Almost surely, 25444376 is an apocalyptic number.

5444376 is a gapful number since it is divisible by the number (56) 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 5444376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121600).

5444376 is an abundant number, since it is smaller than the sum of its proper divisors (10798824).

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

5444376 is a wasteful number, since it uses less digits than its factorization.

5444376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1444 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 5444376 is about 2333.3186666206. The cubic root of 5444376 is about 175.9203324007.

It can be divided in two parts, 54 and 44376, that multiplied together give a square (2396304 = 15482).

The spelling of 5444376 in words is "five million, four hundred forty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1409 1932 2818 3864 4227 5636 8454 9863 11272 16908 19726 29589 32407 33816 39452 59178 64814 78904 97221 118356 129628 194442 226849 236712 259256 388884 453698 680547 777768 907396 1361094 1814792 2722188 5444376