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49300000344 = 23327225155673
BaseRepresentation
bin101101111010100000…
…100100111001011000
311201020210122111121200
4231322200210321120
51301431300002334
634351554034200
73363462042300
oct557240447130
9151223574550
1049300000344
11199a9623a41
12967a578960
134858a3084a
142559796600
1514381c2799
hexb7a824e58

49300000344 has 144 divisors (see below), whose sum is σ = 155941760520. Its totient is φ = 14029344000.

The previous prime is 49300000339. The next prime is 49300000381. The reversal of 49300000344 is 44300000394.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 857692 + ... + 913364.

Almost surely, 249300000344 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 49300000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77970880260).

49300000344 is an abundant number, since it is smaller than the sum of its proper divisors (106641760176).

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

49300000344 is a wasteful number, since it uses less digits than its factorization.

49300000344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55950 (or 55936 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 49300000344 in words is "forty-nine billion, three hundred million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 251 252 294 392 441 502 504 588 753 882 1004 1176 1506 1757 1764 2008 2259 3012 3514 3528 4518 5271 6024 7028 9036 10542 12299 14056 15813 18072 21084 24598 31626 36897 42168 49196 55673 63252 73794 98392 110691 111346 126504 147588 167019 221382 222692 295176 334038 389711 442764 445384 501057 668076 779422 885528 1002114 1169133 1336152 1558844 2004228 2338266 2727977 3117688 3507399 4008456 4676532 5455954 7014798 8183931 9353064 10911908 13973923 14029596 16367862 21823816 24551793 27947846 28059192 32735724 41921769 49103586 55895692 65471448 83843538 97817461 98207172 111791384 125765307 167687076 195634922 196414344 251530614 293452383 335374152 391269844 503061228 586904766 684722227 782539688 880357149 1006122456 1173809532 1369444454 1760714298 2054166681 2347619064 2738888908 3521428596 4108333362 5477777816 6162500043 7042857192 8216666724 12325000086 16433333448 24650000172 49300000344