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49498080 = 25351011021
BaseRepresentation
bin1011110011010…
…0011111100000
310110010202121020
42330310133200
5100132414310
64524525440
71140504162
oct274643740
9113122536
1049498080
1125a38705
12146b0880
13a340b08
146806932
15452b170
hex2f347e0

49498080 has 96 divisors (see below), whose sum is σ = 157616928. Its totient is φ = 13056000.

The previous prime is 49498079. The next prime is 49498081. The reversal of 49498080 is 8089494.

It is an interprime number because it is at equal distance from previous prime (49498079) and next prime (49498081).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49498081) 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, 47970 + ... + 48990.

It is an arithmetic number, because the mean of its divisors is an integer number (1641843).

Almost surely, 249498080 is an apocalyptic number.

49498080 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 49498080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78808464).

49498080 is an abundant number, since it is smaller than the sum of its proper divisors (108118848).

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

49498080 is a wasteful number, since it uses less digits than its factorization.

49498080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1132 counting only the distinct ones).

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

The square root of 49498080 is about 7035.4871899535. The cubic root of 49498080 is about 367.1662757794.

The spelling of 49498080 in words is "forty-nine million, four hundred ninety-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 480 505 606 808 1010 1021 1212 1515 1616 2020 2042 2424 3030 3063 3232 4040 4084 4848 5105 6060 6126 8080 8168 9696 10210 12120 12252 15315 16160 16336 20420 24240 24504 30630 32672 40840 48480 49008 61260 81680 98016 103121 122520 163360 206242 245040 309363 412484 490080 515605 618726 824968 1031210 1237452 1546815 1649936 2062420 2474904 3093630 3299872 4124840 4949808 6187260 8249680 9899616 12374520 16499360 24749040 49498080