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48449520 = 2432579613
BaseRepresentation
bin1011100011010…
…0011111110000
310101011111020200
42320310133300
544400341040
64450235200
71125546150
oct270643760
9111144220
1048449520
1125391929
1214285b00
13a064772
146612760
1543c0630
hex2e347f0

48449520 has 120 divisors (see below), whose sum is σ = 185973216. Its totient is φ = 11073024.

The previous prime is 48449503. The next prime is 48449521. The reversal of 48449520 is 2594484.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48449521) 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, 234 + ... + 9846.

Almost surely, 248449520 is an apocalyptic number.

48449520 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 48449520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92986608).

48449520 is an abundant number, since it is smaller than the sum of its proper divisors (137523696).

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

48449520 is a wasteful number, since it uses less digits than its factorization.

48449520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9639 (or 9630 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48449520 is about 6960.5689422633. The cubic root of 48449520 is about 364.5550843382. Note that the first 3 decimals are identical.

The spelling of 48449520 in words is "forty-eight million, four hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 9613 19226 28839 38452 48065 57678 67291 76904 86517 96130 115356 134582 144195 153808 173034 192260 201873 230712 269164 288390 336455 346068 384520 403746 432585 461424 538328 576780 605619 672910 692136 769040 807492 865170 1009365 1076656 1153560 1211238 1345820 1384272 1614984 1730340 2018730 2307120 2422476 2691640 3028095 3229968 3460680 4037460 4844952 5383280 6056190 6921360 8074920 9689904 12112380 16149840 24224760 48449520