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48141280 = 25511171609
BaseRepresentation
bin1011011110100…
…1001111100000
310100120211102101
42313221033200
544311010110
64435500144
71123123405
oct267511740
9110524371
1048141280
11251a1290
1214157654
139c87385
1465722ac
15435e13a
hex2de93e0

48141280 has 96 divisors (see below), whose sum is σ = 131453280. Its totient is φ = 16465920.

The previous prime is 48141271. The next prime is 48141281. The reversal of 48141280 is 8214184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48141281) 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, 29116 + ... + 30724.

It is an arithmetic number, because the mean of its divisors is an integer number (1369305).

Almost surely, 248141280 is an apocalyptic number.

48141280 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 48141280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65726640).

48141280 is an abundant number, since it is smaller than the sum of its proper divisors (83312000).

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

48141280 is a wasteful number, since it uses less digits than its factorization.

48141280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 48141280 is about 6938.3917444895. The cubic root of 48141280 is about 363.7803287537.

The spelling of 48141280 in words is "forty-eight million, one hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1609 1760 1870 2720 2992 3218 3740 5984 6436 7480 8045 12872 14960 16090 17699 25744 27353 29920 32180 35398 51488 54706 64360 70796 88495 109412 128720 136765 141592 176990 218824 257440 273530 283184 300883 353980 437648 547060 566368 601766 707960 875296 1094120 1203532 1415920 1504415 2188240 2407064 2831840 3008830 4376480 4814128 6017660 9628256 12035320 24070640 48141280