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48106560 = 263550111
BaseRepresentation
bin1011011110000…
…0110001000000
310100112001210110
42313200301000
544303402220
64435031320
71122620235
oct267406100
9110461713
1048106560
1125178197
121413b540
139c74628
14656378c
154353be0
hex2de0c40

48106560 has 56 divisors (see below), whose sum is σ = 152741376. Its totient is φ = 12828160.

The previous prime is 48106543. The next prime is 48106561. The reversal of 48106560 is 6560184.

It is a super-3 number, since 3×481065603 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (48106561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24096 + ... + 26015.

Almost surely, 248106560 is an apocalyptic number.

48106560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48106560 is an abundant number, since it is smaller than the sum of its proper divisors (104634816).

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

48106560 is a wasteful number, since it uses less digits than its factorization.

48106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50131 (or 50121 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 48106560 is about 6935.8892724726. The cubic root of 48106560 is about 363.6928536482.

The spelling of 48106560 in words is "forty-eight million, one hundred six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 50111 100222 150333 200444 250555 300666 400888 501110 601332 751665 801776 1002220 1202664 1503330 1603552 2004440 2405328 3006660 3207104 4008880 4810656 6013320 8017760 9621312 12026640 16035520 24053280 48106560