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49099680 = 2532574871
BaseRepresentation
bin1011101101001…
…1001110100000
310102101112002200
42323103032200
5100032142210
64512213200
71134224520
oct273231640
9112345080
1049099680
1125796353
121453a200
13a231686
146741680
15449d0c0
hex2ed33a0

49099680 has 144 divisors (see below), whose sum is σ = 191528064. Its totient is φ = 11220480.

The previous prime is 49099663. The next prime is 49099711. The reversal of 49099680 is 8699094.

49099680 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 (144).

It is a super-2 number, since 2×490996802 = 4821557152204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7645 + ... + 12515.

It is an arithmetic number, because the mean of its divisors is an integer number (1330056).

Almost surely, 249099680 is an apocalyptic number.

49099680 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 49099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95764032).

49099680 is an abundant number, since it is smaller than the sum of its proper divisors (142428384).

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

49099680 is a wasteful number, since it uses less digits than its factorization.

49099680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 49099680 is about 7007.1163826499. The cubic root of 49099680 is about 366.1785387102.

The spelling of 49099680 in words is "forty-nine million, ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 4871 5040 9742 10080 14613 19484 24355 29226 34097 38968 43839 48710 58452 68194 73065 77936 87678 97420 102291 116904 136388 146130 155872 170485 175356 194840 204582 219195 233808 272776 292260 306873 340970 350712 389680 409164 438390 467616 511455 545552 584520 613746 681940 701424 779360 818328 876780 1022910 1091104 1169040 1227492 1363880 1402848 1534365 1636656 1753560 2045820 2338080 2454984 2727760 3068730 3273312 3507120 4091640 4909968 5455520 6137460 7014240 8183280 9819936 12274920 16366560 24549840 49099680