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48534660 = 22335172311
BaseRepresentation
bin1011100100100…
…1010010000100
310101022211001000
42321021102010
544411102120
64452133300
71126352316
oct271112204
9111284030
1048534660
112543a899
1214307230
13a094445
1466357b6
1543da990
hex2e49484

48534660 has 144 divisors (see below), whose sum is σ = 160917120. Its totient is φ = 12142080.

The previous prime is 48534617. The next prime is 48534667. The reversal of 48534660 is 6643584.

It is a super-2 number, since 2×485346602 = 4711226442631200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48534667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155905 + ... + 156215.

It is an arithmetic number, because the mean of its divisors is an integer number (1117480).

Almost surely, 248534660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48534660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80458560).

48534660 is an abundant number, since it is smaller than the sum of its proper divisors (112382460).

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

48534660 is a wasteful number, since it uses less digits than its factorization.

48534660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 48534660 is about 6966.6821371439. The cubic root of 48534660 is about 364.7685027342.

It can be divided in two parts, 48534 and 660, that added together give a palindrome (49194).

The spelling of 48534660 in words is "forty-eight million, five hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 289 306 311 340 459 510 540 578 612 622 765 867 918 933 1020 1156 1244 1445 1530 1555 1734 1836 1866 2295 2601 2799 2890 3060 3110 3468 3732 4335 4590 4665 5202 5287 5598 5780 6220 7803 8397 8670 9180 9330 10404 10574 11196 13005 13995 15606 15861 16794 17340 18660 21148 26010 26435 27990 31212 31722 33588 39015 41985 47583 52020 52870 55980 63444 78030 79305 83970 89879 95166 105740 142749 156060 158610 167940 179758 190332 237915 269637 285498 317220 359516 449395 475830 539274 570996 713745 808911 898790 951660 1078548 1348185 1427490 1617822 1797580 2426733 2696370 2854980 3235644 4044555 4853466 5392740 8089110 9706932 12133665 16178220 24267330 48534660