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48550560 = 2535412467
BaseRepresentation
bin1011100100110…
…1001010100000
310101100121211220
42321031022200
544412104220
64452335040
71126446552
oct271151240
9111317756
1048550560
1125450833
1214314480
13a09b756
14663b4d2
1543e0540
hex2e4d2a0

48550560 has 96 divisors (see below), whose sum is σ = 156727872. Its totient is φ = 12625920.

The previous prime is 48550531. The next prime is 48550603. The reversal of 48550560 is 6505584.

It is a tau number, because it is divible by the number of its divisors (96).

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, 18447 + ... + 20913.

It is an arithmetic number, because the mean of its divisors is an integer number (1632582).

Almost surely, 248550560 is an apocalyptic number.

48550560 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 48550560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78363936).

48550560 is an abundant number, since it is smaller than the sum of its proper divisors (108177312).

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

48550560 is a wasteful number, since it uses less digits than its factorization.

48550560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 48550560 is about 6967.8231894904. The cubic root of 48550560 is about 364.8083312194.

The spelling of 48550560 in words is "forty-eight million, five hundred fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 2467 3280 3936 4920 4934 6560 7401 9840 9868 12335 14802 19680 19736 24670 29604 37005 39472 49340 59208 74010 78944 98680 101147 118416 148020 197360 202294 236832 296040 303441 394720 404588 505735 592080 606882 809176 1011470 1184160 1213764 1517205 1618352 2022940 2427528 3034410 3236704 4045880 4855056 6068820 8091760 9710112 12137640 16183520 24275280 48550560