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544414416 = 243713235419
BaseRepresentation
bin100000011100110…
…001101011010000
31101221102010011220
4200130301223100
52103332230131
6130004405040
716330306020
oct4034615320
91357363156
10544414416
1125a342677
121323a6780
1388a36010
1452437a80
1532bdce96
hex20731ad0

544414416 has 160 divisors (see below), whose sum is σ = 1806551040. Its totient is φ = 137313792.

The previous prime is 544414397. The next prime is 544414433. The reversal of 544414416 is 614414445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97755 + ... + 103173.

It is an arithmetic number, because the mean of its divisors is an integer number (11290944).

Almost surely, 2544414416 is an apocalyptic number.

544414416 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 544414416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903275520).

544414416 is an abundant number, since it is smaller than the sum of its proper divisors (1262136624).

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

544414416 is a wasteful number, since it uses less digits than its factorization.

544414416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5473 (or 5467 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 544414416 is about 23332.6898577939. The cubic root of 544414416 is about 816.5382598242.

The spelling of 544414416 in words is "five hundred forty-four million, four hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 104 112 138 156 161 168 182 184 208 273 276 299 312 322 336 364 368 483 546 552 598 624 644 728 897 966 1092 1104 1196 1288 1456 1794 1932 2093 2184 2392 2576 3588 3864 4186 4368 4784 5419 6279 7176 7728 8372 10838 12558 14352 16257 16744 21676 25116 32514 33488 37933 43352 50232 65028 70447 75866 86704 100464 113799 124637 130056 140894 151732 211341 227598 249274 260112 281788 303464 373911 422682 455196 493129 498548 563576 606928 747822 845364 872459 910392 986258 997096 1127152 1479387 1495644 1620281 1690728 1744918 1820784 1972516 1994192 2617377 2958774 2991288 3240562 3381456 3489836 3945032 4860843 5234754 5917548 5982576 6481124 6979672 7890064 9721686 10469508 11341967 11835096 12962248 13959344 19443372 20939016 22683934 23670192 25924496 34025901 38886744 41878032 45367868 68051802 77773488 90735736 136103604 181471472 272207208 544414416