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49983960 = 2335131792
BaseRepresentation
bin1011111010101…
…1000111011000
310111001110002210
42332223013120
5100243441320
64543155120
71144566555
oct276530730
9114043083
1049983960
112623a764
12148a5aa0
13a481010
1468d1a2c
1545c50e0
hex2fab1d8

49983960 has 96 divisors (see below), whose sum is σ = 162393840. Its totient is φ = 12235008.

The previous prime is 49983959. The next prime is 49983971. The reversal of 49983960 is 6938994.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279151 + ... + 279329.

Almost surely, 249983960 is an apocalyptic number.

49983960 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 49983960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81196920).

49983960 is an abundant number, since it is smaller than the sum of its proper divisors (112409880).

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

49983960 is a wasteful number, since it uses less digits than its factorization.

49983960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 49983960 is about 7069.9335216111. The cubic root of 49983960 is about 368.3637510739.

The spelling of 49983960 in words is "forty-nine million, nine hundred eighty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 179 195 260 312 358 390 520 537 716 780 895 1074 1432 1560 1790 2148 2327 2685 3580 4296 4654 5370 6981 7160 9308 10740 11635 13962 18616 21480 23270 27924 32041 34905 46540 55848 64082 69810 93080 96123 128164 139620 160205 192246 256328 279240 320410 384492 416533 480615 640820 768984 833066 961230 1249599 1281640 1666132 1922460 2082665 2499198 3332264 3844920 4165330 4998396 6247995 8330660 9996792 12495990 16661320 24991980 49983960