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48605440 = 2851323127
BaseRepresentation
bin1011100101101…
…0100100000000
310101110102010111
42321122210000
544420333230
64453441104
71130065552
oct271324400
9111412114
1048605440
1125488a94
1214340194
13a0ba720
1466534d2
15440192a
hex2e5a900

48605440 has 144 divisors (see below), whose sum is σ = 131862528. Its totient is φ = 17031168.

The previous prime is 48605423. The next prime is 48605443. The reversal of 48605440 is 4450684.

It is not an unprimeable number, because it can be changed into a prime (48605443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382657 + ... + 382783.

It is an arithmetic number, because the mean of its divisors is an integer number (915712).

Almost surely, 248605440 is an apocalyptic number.

48605440 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 48605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65931264).

48605440 is an abundant number, since it is smaller than the sum of its proper divisors (83257088).

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

48605440 is a wasteful number, since it uses less digits than its factorization.

48605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 48605440 is about 6971.7601794669. The cubic root of 48605440 is about 364.9457353494.

The spelling of 48605440 in words is "forty-eight million, six hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 127 128 130 160 184 208 230 254 256 260 299 320 368 416 460 508 520 598 635 640 736 832 920 1016 1040 1196 1270 1280 1472 1495 1651 1664 1840 2032 2080 2392 2540 2921 2944 2990 3302 3328 3680 4064 4160 4784 5080 5842 5888 5980 6604 7360 8128 8255 8320 9568 10160 11684 11960 13208 14605 14720 16256 16510 16640 19136 20320 23368 23920 26416 29210 29440 32512 33020 37973 38272 40640 46736 47840 52832 58420 66040 75946 76544 81280 93472 95680 105664 116840 132080 151892 162560 186944 189865 191360 211328 233680 264160 303784 373888 379730 382720 422656 467360 528320 607568 747776 759460 934720 1056640 1215136 1518920 1869440 2113280 2430272 3037840 3738880 4860544 6075680 9721088 12151360 24302720 48605440