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49288560 = 2435415009
BaseRepresentation
bin1011110000000…
…1010101110000
310102202010012020
42330001111300
5100104213220
64520231440
71135642266
oct274012560
9112663166
1049288560
1125905252
121460b580
13a299639
146790436
1544d9040
hex2f01570

49288560 has 80 divisors (see below), whose sum is σ = 156552480. Its totient is φ = 12820480.

The previous prime is 49288553. The next prime is 49288579. The reversal of 49288560 is 6588294.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7336 + ... + 12344.

It is an arithmetic number, because the mean of its divisors is an integer number (1956906).

Almost surely, 249288560 is an apocalyptic number.

49288560 is a gapful number since it is divisible by the number (40) 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 49288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78276240).

49288560 is an abundant number, since it is smaller than the sum of its proper divisors (107263920).

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

49288560 is a wasteful number, since it uses less digits than its factorization.

49288560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 49288560 is about 7020.5811725241. The cubic root of 49288560 is about 366.6474847633.

The spelling of 49288560 in words is "forty-nine million, two hundred eighty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 5009 9840 10018 15027 20036 25045 30054 40072 50090 60108 75135 80144 100180 120216 150270 200360 205369 240432 300540 400720 410738 601080 616107 821476 1026845 1202160 1232214 1642952 2053690 2464428 3080535 3285904 4107380 4928856 6161070 8214760 9857712 12322140 16429520 24644280 49288560