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55141344 = 2533193359
BaseRepresentation
bin1101001001011…
…0001111100000
310211202110201000
43102112033200
5103104010334
65245512000
71236456636
oct322261740
9124673630
1055141344
1129142565
1216572600
13b56861b
147475356
154c93299
hex34963e0

55141344 has 96 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 17407872.

The previous prime is 55141337. The next prime is 55141357. The reversal of 55141344 is 44314155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14737 + ... + 18095.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 255141344 is an apocalyptic number.

55141344 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 55141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

55141344 is an abundant number, since it is smaller than the sum of its proper divisors (114202656).

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

55141344 is a wasteful number, since it uses less digits than its factorization.

55141344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3383 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 55141344 is about 7425.7217830996. The cubic root of 55141344 is about 380.6207398392.

Adding to 55141344 its reverse (44314155), we get a palindrome (99455499).

The spelling of 55141344 in words is "fifty-five million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 3359 4104 5472 6718 8208 10077 13436 16416 20154 26872 30231 40308 53744 60462 63821 80616 90693 107488 120924 127642 161232 181386 191463 241848 255284 322464 362772 382926 483696 510568 574389 725544 765852 967392 1021136 1148778 1451088 1531704 1723167 2042272 2297556 2902176 3063408 3446334 4595112 6126816 6892668 9190224 13785336 18380448 27570672 55141344