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55681344 = 263423467
BaseRepresentation
bin1101010001101…
…0000101000000
310212202220110000
43110122011000
5103223300334
65305240000
71244166165
oct324320500
9125686400
1055681344
1129481244
1216793000
13b6c7354
14757606c
154d4d299
hex351a140

55681344 has 140 divisors (see below), whose sum is σ = 172602144. Its totient is φ = 17715456.

The previous prime is 55681331. The next prime is 55681357. The reversal of 55681344 is 44318655.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55681331) and next prime (55681357).

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

It is a junction number, because it is equal to n+sod(n) for n = 55681299 and 55681308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118999 + ... + 119465.

Almost surely, 255681344 is an apocalyptic number.

55681344 is a gapful number since it is divisible by the number (54) 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 55681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86301072).

55681344 is an abundant number, since it is smaller than the sum of its proper divisors (116920800).

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

55681344 is a wasteful number, since it uses less digits than its factorization.

55681344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 495 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 55681344 is about 7461.9932993805. The cubic root of 55681344 is about 381.8591807552.

Adding to 55681344 its reverse (44318655), we get a palindrome (99999999).

The spelling of 55681344 in words is "fifty-five million, six hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 467 552 576 621 648 736 828 864 934 1104 1242 1296 1401 1472 1656 1728 1863 1868 2208 2484 2592 2802 3312 3726 3736 4203 4416 4968 5184 5604 6624 7452 7472 8406 9936 10741 11208 12609 13248 14904 14944 16812 19872 21482 22416 25218 29808 29888 32223 33624 37827 39744 42964 44832 50436 59616 64446 67248 75654 85928 89664 96669 100872 119232 128892 134496 151308 171856 193338 201744 257784 268992 290007 302616 343712 386676 403488 515568 580014 605232 687424 773352 806976 870021 1031136 1160028 1210464 1546704 1740042 2062272 2320056 2420928 3093408 3480084 4640112 6186816 6960168 9280224 13920336 18560448 27840672 55681344