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48420240 = 24351118341
BaseRepresentation
bin1011100010110…
…1010110010000
310101010000002020
42320231112100
544343421430
64445451440
71125364611
oct270552620
9111100066
1048420240
1125371930
1214270b80
13a05433b
146605c08
1543b6b10
hex2e2d590

48420240 has 80 divisors (see below), whose sum is σ = 163757376. Its totient is φ = 11737600.

The previous prime is 48420209. The next prime is 48420241. The reversal of 48420240 is 4202484.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 48420240.

It is not an unprimeable number, because it can be changed into a prime (48420241) 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, 6531 + ... + 11810.

Almost surely, 248420240 is an apocalyptic number.

48420240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48420240 is an abundant number, since it is smaller than the sum of its proper divisors (115337136).

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

48420240 is a wasteful number, since it uses less digits than its factorization.

48420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18368 (or 18362 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 48420240 is about 6958.4653480491. The cubic root of 48420240 is about 364.4816310899.

The spelling of 48420240 in words is "forty-eight million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 18341 36682 55023 73364 91705 110046 146728 183410 201751 220092 275115 293456 366820 403502 440184 550230 605253 733640 807004 880368 1008755 1100460 1210506 1467280 1614008 2017510 2200920 2421012 3026265 3228016 4035020 4401840 4842024 6052530 8070040 9684048 12105060 16140080 24210120 48420240