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48727440 = 24335171327
BaseRepresentation
bin1011100111100…
…0010110010000
310101200121111000
42321320112100
544433234230
64500222000
71131114336
oct271702620
9111617430
1048727440
1125561713
121439a900
13a131108
146685b56
154427b60
hex2e78590

48727440 has 160 divisors (see below), whose sum is σ = 177845760. Its totient is φ = 12220416.

The previous prime is 48727439. The next prime is 48727477. The reversal of 48727440 is 4472784.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48727395 and 48727404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36057 + ... + 37383.

It is an arithmetic number, because the mean of its divisors is an integer number (1111536).

Almost surely, 248727440 is an apocalyptic number.

48727440 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 48727440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88922880).

48727440 is an abundant number, since it is smaller than the sum of its proper divisors (129118320).

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

48727440 is a wasteful number, since it uses less digits than its factorization.

48727440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 48727440 is about 6980.5042797781. The cubic root of 48727440 is about 365.2508190344.

The spelling of 48727440 in words is "forty-eight million, seven hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1327 1360 1530 1836 2040 2160 2295 2448 2654 3060 3672 3981 4080 4590 5308 6120 6635 7344 7962 9180 10616 11943 12240 13270 15924 18360 19905 21232 22559 23886 26540 31848 35829 36720 39810 45118 47772 53080 59715 63696 67677 71658 79620 90236 95544 106160 112795 119430 135354 143316 159240 179145 180472 191088 203031 225590 238860 270708 286632 318480 338385 358290 360944 406062 451180 477720 541416 573264 609093 676770 716580 812124 902360 955440 1015155 1082832 1218186 1353540 1433160 1624248 1804720 2030310 2436372 2707080 2866320 3045465 3248496 4060620 4872744 5414160 6090930 8121240 9745488 12181860 16242480 24363720 48727440