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49991880 = 23352359307
BaseRepresentation
bin1011111010110…
…1000011001000
310111001211222010
42332231003020
5100244220010
64543255520
71144631631
oct276550310
9114054863
1049991880
1126245704
12148aa5a0
13a4847c3
1468d4888
1545c7620
hex2fad0c8

49991880 has 128 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 12494592.

The previous prime is 49991873. The next prime is 49991891. The reversal of 49991880 is 8819994.

49991880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 162687 + ... + 162993.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 249991880 is an apocalyptic number.

49991880 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 49991880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

49991880 is an abundant number, since it is smaller than the sum of its proper divisors (109675320).

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

49991880 is a wasteful number, since it uses less digits than its factorization.

49991880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 49991880 is about 7070.4936178459. The cubic root of 49991880 is about 368.3832058939.

The spelling of 49991880 in words is "forty-nine million, nine hundred ninety-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 59 60 69 92 115 118 120 138 177 184 230 236 276 295 307 345 354 460 472 552 590 614 690 708 885 920 921 1180 1228 1357 1380 1416 1535 1770 1842 2360 2456 2714 2760 3070 3540 3684 4071 4605 5428 6140 6785 7061 7080 7368 8142 9210 10856 12280 13570 14122 16284 18113 18420 20355 21183 27140 28244 32568 35305 36226 36840 40710 42366 54280 54339 56488 70610 72452 81420 84732 90565 105915 108678 141220 144904 162840 169464 181130 211830 217356 271695 282440 362260 416599 423660 434712 543390 724520 833198 847320 1086780 1249797 1666396 2082995 2173560 2499594 3332792 4165990 4999188 6248985 8331980 9998376 12497970 16663960 24995940 49991880