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48040560 = 2433523967
BaseRepresentation
bin1011011101000…
…0101001110000
310100101201021000
42313100221300
544244244220
64433402000
71122223641
oct267205160
9110351230
1048040560
1125132647
1214109300
139c50589
1465476c8
15433e390
hex2dd0a70

48040560 has 160 divisors (see below), whose sum is σ = 172846080. Its totient is φ = 12241152.

The previous prime is 48040547. The next prime is 48040567. The reversal of 48040560 is 6504084.

It is a super-2 number, since 2×480405602 = 4615790810227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48040567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49197 + ... + 50163.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 248040560 is an apocalyptic number.

48040560 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 48040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040).

48040560 is an abundant number, since it is smaller than the sum of its proper divisors (124805520).

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

48040560 is a wasteful number, since it uses less digits than its factorization.

48040560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 48040560 is about 6931.1297780376. The cubic root of 48040560 is about 363.5264542074.

The spelling of 48040560 in words is "forty-eight million, forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 967 1035 1080 1104 1242 1380 1656 1840 1934 2070 2160 2484 2760 2901 3105 3312 3868 4140 4835 4968 5520 5802 6210 7736 8280 8703 9670 9936 11604 12420 14505 15472 16560 17406 19340 22241 23208 24840 26109 29010 34812 38680 43515 44482 46416 49680 52218 58020 66723 69624 77360 87030 88964 104436 111205 116040 130545 133446 139248 174060 177928 200169 208872 222410 232080 261090 266892 333615 348120 355856 400338 417744 444820 522180 533784 600507 667230 696240 800676 889640 1000845 1044360 1067568 1201014 1334460 1601352 1779280 2001690 2088720 2402028 2668920 3002535 3202704 4003380 4804056 5337840 6005070 8006760 9608112 12010140 16013520 24020280 48040560