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55314144 = 253373877
BaseRepresentation
bin1101001100000…
…0011011100000
310212002020202000
43103000123200
5103130023034
65253324000
71241106504
oct323003340
9125066660
1055314144
1129250376
1216636600
13b5c9182
1474bc304
154cc9599
hex34c06e0

55314144 has 96 divisors (see below), whose sum is σ = 163729440. Its totient is φ = 18164736.

The previous prime is 55314131. The next prime is 55314151. The reversal of 55314144 is 44141355.

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, 62634 + ... + 63510.

It is an arithmetic number, because the mean of its divisors is an integer number (1705515).

Almost surely, 255314144 is an apocalyptic number.

55314144 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 55314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81864720).

55314144 is an abundant number, since it is smaller than the sum of its proper divisors (108415296).

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

55314144 is a wasteful number, since it uses less digits than its factorization.

55314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 955 counting only the distinct ones).

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

The square root of 55314144 is about 7437.3479144114. The cubic root of 55314144 is about 381.0179171932.

Adding to 55314144 its reverse (44141355), we get a palindrome (99455499).

The spelling of 55314144 in words is "fifty-five million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 432 438 584 657 864 876 877 1168 1314 1752 1754 1971 2336 2628 2631 3504 3508 3942 5256 5262 7008 7016 7884 7893 10512 10524 14032 15768 15786 21024 21048 23679 28064 31536 31572 42096 47358 63072 63144 64021 84192 94716 126288 128042 189432 192063 252576 256084 378864 384126 512168 576189 757728 768252 1024336 1152378 1536504 1728567 2048672 2304756 3073008 3457134 4609512 6146016 6914268 9219024 13828536 18438048 27657072 55314144