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544316544 = 2733295431
BaseRepresentation
bin100000011100011…
…001110010000000
31101221020010221000
4200130121302000
52103321112134
6130002332000
716326420462
oct4034316200
91357203830
10544316544
1125a286092
1213235a000
1388a005c5
1452410132
1532bbde99
hex20719c80

544316544 has 128 divisors (see below), whose sum is σ = 1662192000. Its totient is φ = 175150080.

The previous prime is 544316537. The next prime is 544316587. The reversal of 544316544 is 445613445.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 544316499 and 544316508.

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, 97509 + ... + 102939.

It is an arithmetic number, because the mean of its divisors is an integer number (12985875).

Almost surely, 2544316544 is an apocalyptic number.

544316544 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 544316544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831096000).

544316544 is an abundant number, since it is smaller than the sum of its proper divisors (1117875456).

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

544316544 is a wasteful number, since it uses less digits than its factorization.

544316544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483 (or 5465 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 544316544 is about 23330.5924485428. The cubic root of 544316544 is about 816.4893258874.

Adding to 544316544 its reverse (445613445), we get a palindrome (989929989).

The spelling of 544316544 in words is "five hundred forty-four million, three hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1044 1152 1392 1566 1728 1856 2088 2784 3132 3456 3712 4176 5431 5568 6264 8352 10862 11136 12528 16293 16704 21724 25056 32586 33408 43448 48879 50112 65172 86896 97758 100224 130344 146637 157499 173792 195516 260688 293274 314998 347584 391032 472497 521376 586548 629996 695168 782064 944994 1042752 1173096 1259992 1417491 1564128 1889988 2085504 2346192 2519984 2834982 3128256 3779976 4252473 4692384 5039968 5669964 6256512 7559952 8504946 9384768 10079936 11339928 15119904 17009892 18769536 20159872 22679856 30239808 34019784 45359712 60479616 68039568 90719424 136079136 181438848 272158272 544316544