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48930560 = 285743127
BaseRepresentation
bin1011101010100…
…1111100000000
310102001221002222
42322221330000
5100011234220
64504430212
71132621460
oct272517400
9112057088
1048930560
1125690288
1214478368
13a1a26c3
1466d9ba0
154467e25
hex2ea9f00

48930560 has 144 divisors (see below), whose sum is σ = 138141696. Its totient is φ = 16257024.

The previous prime is 48930551. The next prime is 48930593. The reversal of 48930560 is 6503984.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 48930560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385217 + ... + 385343.

Almost surely, 248930560 is an apocalyptic number.

48930560 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 48930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69070848).

48930560 is an abundant number, since it is smaller than the sum of its proper divisors (89211136).

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

48930560 is a wasteful number, since it uses less digits than its factorization.

48930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 48930560 is about 6995.0382414966. The cubic root of 48930560 is about 365.7576306512.

The spelling of 48930560 in words is "forty-eight million, nine hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 127 128 140 160 172 215 224 254 256 280 301 320 344 430 448 508 560 602 635 640 688 860 889 896 1016 1120 1204 1270 1280 1376 1505 1720 1778 1792 2032 2240 2408 2540 2752 3010 3440 3556 4064 4445 4480 4816 5080 5461 5504 6020 6880 7112 8128 8890 8960 9632 10160 10922 11008 12040 13760 14224 16256 17780 19264 20320 21844 24080 27305 27520 28448 32512 35560 38227 38528 40640 43688 48160 54610 55040 56896 71120 76454 77056 81280 87376 96320 109220 113792 142240 152908 162560 174752 191135 192640 218440 227584 284480 305816 349504 382270 385280 436880 568960 611632 699008 764540 873760 1137920 1223264 1398016 1529080 1747520 2446528 3058160 3495040 4893056 6116320 6990080 9786112 12232640 24465280 48930560