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544013136 = 2432127151197
BaseRepresentation
bin100000011011001…
…111101101010000
31101220122201201200
4200123033231100
52103231410021
6125552031200
716324015062
oct4033175520
91356581650
10544013136
1125a099137
12132232500
1388925484
1452371732
1532b5e126
hex206cfb50

544013136 has 120 divisors (see below), whose sum is σ = 1552472064. Its totient is φ = 177811200.

The previous prime is 544013101. The next prime is 544013137. The reversal of 544013136 is 631310445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544013137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2761390 + ... + 2761586.

Almost surely, 2544013136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544013136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776236032).

544013136 is an abundant number, since it is smaller than the sum of its proper divisors (1008458928).

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

544013136 is a wasteful number, since it uses less digits than its factorization.

544013136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 544013136 is about 23324.0891783581. The cubic root of 544013136 is about 816.3375909950.

The spelling of 544013136 in words is "five hundred forty-four million, thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 151 197 254 302 381 394 453 508 591 604 762 788 906 1016 1143 1182 1208 1359 1524 1576 1773 1812 2032 2286 2364 2416 2718 3048 3152 3546 3624 4572 4728 5436 6096 7092 7248 9144 9456 10872 14184 18288 19177 21744 25019 28368 29747 38354 50038 57531 59494 75057 76708 89241 100076 115062 118988 150114 153416 172593 178482 200152 225171 230124 237976 267723 300228 306832 345186 356964 400304 450342 460248 475952 535446 600456 690372 713928 900684 920496 1070892 1200912 1380744 1427856 1801368 2141784 2761488 3602736 3777869 4283568 7555738 11333607 15111476 22667214 30222952 34000821 45334428 60445904 68001642 90668856 136003284 181337712 272006568 544013136