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5605376 = 21171723
BaseRepresentation
bin10101011000100000000000
3101112210010112
4111120200000
52413333001
6320050452
765434130
oct25304000
911483115
105605376
113189447
121a63a28
1312134ba
14a5cac0
1575acbb
hex558800

5605376 has 96 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 2162688.

The previous prime is 5605367. The next prime is 5605387. The reversal of 5605376 is 6735065.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243701 + ... + 243723.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 25605376 is an apocalyptic number.

5605376 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 5605376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

5605376 is an abundant number, since it is smaller than the sum of its proper divisors (8546944).

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

5605376 is a wasteful number, since it uses less digits than its factorization.

5605376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 5605376 is about 2367.5675280760. The cubic root of 5605376 is about 177.6376080300.

The spelling of 5605376 in words is "five million, six hundred five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 64 68 92 112 119 128 136 161 184 224 238 256 272 322 368 391 448 476 512 544 644 736 782 896 952 1024 1088 1288 1472 1564 1792 1904 2048 2176 2576 2737 2944 3128 3584 3808 4352 5152 5474 5888 6256 7168 7616 8704 10304 10948 11776 12512 14336 15232 17408 20608 21896 23552 25024 30464 34816 41216 43792 47104 50048 60928 82432 87584 100096 121856 164864 175168 200192 243712 329728 350336 400384 700672 800768 1401344 2802688 5605376