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49980480 = 2635114733
BaseRepresentation
bin1011111010101…
…0010001000000
310111001021022220
42332222101000
5100243333410
64543131040
71144553454
oct276522100
9114037286
1049980480
1126238090
12148a3a80
13a47c564
1468d0664
1545c4070
hex2faa440

49980480 has 112 divisors (see below), whose sum is σ = 173150784. Its totient is φ = 12113920.

The previous prime is 49980473. The next prime is 49980481. The reversal of 49980480 is 8408994.

It is not an unprimeable number, because it can be changed into a prime (49980481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8194 + ... + 12926.

Almost surely, 249980480 is an apocalyptic number.

49980480 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 49980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86575392).

49980480 is an abundant number, since it is smaller than the sum of its proper divisors (123170304).

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

49980480 is a wasteful number, since it uses less digits than its factorization.

49980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 49980480 is about 7069.6874046877. The cubic root of 49980480 is about 368.3552020940.

The spelling of 49980480 in words is "forty-nine million, nine hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 4733 5280 9466 10560 14199 18932 23665 28398 37864 47330 52063 56796 70995 75728 94660 104126 113592 141990 151456 156189 189320 208252 227184 260315 283980 302912 312378 378640 416504 454368 520630 567960 624756 757280 780945 833008 908736 1041260 1135920 1249512 1514560 1561890 1666016 2082520 2271840 2499024 3123780 3332032 4165040 4543680 4998048 6247560 8330080 9996096 12495120 16660160 24990240 49980480