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48506040 = 23345111361
BaseRepresentation
bin1011100100001…
…0010010111000
310101021100210000
42321002102320
544404143130
64451353000
71126203012
oct271022270
9111240700
1048506040
1125420340
12142b2760
13a0843cb
1466291b2
1543d2260
hex2e424b8

48506040 has 160 divisors (see below), whose sum is σ = 177986160. Its totient is φ = 11750400.

The previous prime is 48505997. The next prime is 48506053. The reversal of 48506040 is 4060584.

48506040 is a `hidden beast` number, since 4 + 8 + 50 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 48505995 and 48506013.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 34960 + ... + 36320.

Almost surely, 248506040 is an apocalyptic number.

48506040 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 48506040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88993080).

48506040 is an abundant number, since it is smaller than the sum of its proper divisors (129480120).

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

48506040 is a wasteful number, since it uses less digits than its factorization.

48506040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1382 counting only the distinct ones).

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

The square root of 48506040 is about 6964.6277718195. The cubic root of 48506040 is about 364.6967895348.

The spelling of 48506040 in words is "forty-eight million, five hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1361 1485 1620 1782 1980 2376 2722 2970 3240 3564 3960 4083 4455 5444 5940 6805 7128 8166 8910 10888 11880 12249 13610 14971 16332 17820 20415 24498 27220 29942 32664 35640 36747 40830 44913 48996 54440 59884 61245 73494 74855 81660 89826 97992 110241 119768 122490 134739 146988 149710 163320 179652 183735 220482 224565 244980 269478 293976 299420 359304 367470 404217 440964 449130 489960 538956 551205 598840 673695 734940 808434 881928 898260 1077912 1102410 1212651 1347390 1469880 1616868 1796520 2021085 2204820 2425302 2694780 3233736 4042170 4409640 4850604 5389560 6063255 8084340 9701208 12126510 16168680 24253020 48506040