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49218480 = 24325197347
BaseRepresentation
bin1011101111000…
…0001110110000
310102121120001200
42323300032300
5100044442410
64514531200
71135231053
oct273601660
9112546050
1049218480
1125867633
1214596b00
13a27377c
146772a9a
1544c33c0
hex2ef03b0

49218480 has 120 divisors (see below), whose sum is σ = 166609872. Its totient is φ = 13020672.

The previous prime is 49218461. The next prime is 49218497. The reversal of 49218480 is 8481294.

49218480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141667 + ... + 142013.

Almost surely, 249218480 is an apocalyptic number.

49218480 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 49218480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83304936).

49218480 is an abundant number, since it is smaller than the sum of its proper divisors (117391392).

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

49218480 is a wasteful number, since it uses less digits than its factorization.

49218480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 49218480 is about 7015.5883573653. The cubic root of 49218480 is about 366.4736320939.

The spelling of 49218480 in words is "forty-nine million, two hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 197 240 347 360 394 591 694 720 788 985 1041 1182 1388 1576 1735 1773 1970 2082 2364 2776 2955 3123 3152 3470 3546 3940 4164 4728 5205 5552 5910 6246 6940 7092 7880 8328 8865 9456 10410 11820 12492 13880 14184 15615 15760 16656 17730 20820 23640 24984 27760 28368 31230 35460 41640 47280 49968 62460 68359 70920 83280 124920 136718 141840 205077 249840 273436 341795 410154 546872 615231 683590 820308 1025385 1093744 1230462 1367180 1640616 2050770 2460924 2734360 3076155 3281232 4101540 4921848 5468720 6152310 8203080 9843696 12304620 16406160 24609240 49218480