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48486240 = 25325113061
BaseRepresentation
bin1011100011110…
…1011101100000
310101020100121200
42320331131200
544403024430
64451121200
71126061205
oct270753540
9111210550
1048486240
1125407480
12142a3200
13a0783aa
146621cac
1543cb460
hex2e3d760

48486240 has 144 divisors (see below), whose sum is σ = 180560016. Its totient is φ = 11750400.

The previous prime is 48486223. The next prime is 48486247. The reversal of 48486240 is 4268484.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 48486195 and 48486204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48486247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14310 + ... + 17370.

It is an arithmetic number, because the mean of its divisors is an integer number (1253889).

Almost surely, 248486240 is an apocalyptic number.

48486240 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 48486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90280008).

48486240 is an abundant number, since it is smaller than the sum of its proper divisors (132073776).

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

48486240 is a wasteful number, since it uses less digits than its factorization.

48486240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48486240 is about 6963.2061580855. The cubic root of 48486240 is about 364.6471601197.

The spelling of 48486240 in words is "forty-eight million, four hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3061 3168 3960 5280 6122 7920 9183 12244 15305 15840 18366 24488 27549 30610 33671 36732 45915 48976 55098 61220 67342 73464 91830 97952 101013 110196 122440 134684 137745 146928 168355 183660 202026 220392 244880 269368 275490 293856 303039 336710 367320 404052 440784 489760 505065 538736 550980 606078 673420 734640 808104 881568 1010130 1077472 1101960 1212156 1346840 1469280 1515195 1616208 2020260 2203920 2424312 2693680 3030390 3232416 4040520 4407840 4848624 5387360 6060780 8081040 9697248 12121560 16162080 24243120 48486240