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49684880 = 2457172307
BaseRepresentation
bin1011110110001…
…0000110010000
310110111020211202
42331202012100
5100204404010
64532530332
71142212610
oct275420620
9113436752
1049684880
1126055a93
12147809a8
13a3a7b4b
146854a40
1545666a5
hex2f62190

49684880 has 120 divisors (see below), whose sum is σ = 140699328. Its totient is φ = 15980544.

The previous prime is 49684861. The next prime is 49684883. The reversal of 49684880 is 8848694.

It is a super-2 number, since 2×496848802 = 4937174601228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49684883) 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 23 ways as a sum of consecutive naturals, for example, 161687 + ... + 161993.

Almost surely, 249684880 is an apocalyptic number.

49684880 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 49684880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70349664).

49684880 is an abundant number, since it is smaller than the sum of its proper divisors (91014448).

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

49684880 is a wasteful number, since it uses less digits than its factorization.

49684880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 49684880 is about 7048.7502438376. The cubic root of 49684880 is about 367.6275769140.

The spelling of 49684880 in words is "forty-nine million, six hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 289 307 340 476 560 578 595 614 680 952 1156 1190 1228 1360 1445 1535 1904 2023 2149 2312 2380 2456 2890 3070 4046 4298 4624 4760 4912 5219 5780 6140 8092 8596 9520 10115 10438 10745 11560 12280 16184 17192 20230 20876 21490 23120 24560 26095 32368 34384 36533 40460 41752 42980 52190 73066 80920 83504 85960 88723 104380 146132 161840 171920 177446 182665 208760 292264 354892 365330 417520 443615 584528 621061 709784 730660 887230 1242122 1419568 1461320 1774460 2484244 2922640 3105305 3548920 4968488 6210610 7097840 9936976 12421220 24842440 49684880