Search a number
-
+
49163760 = 24375281
BaseRepresentation
bin1011101110001…
…0110111110000
310102111210000000
42323202313300
5100041220020
64513430000
71134612402
oct273426760
9112453000
1049163760
112582a508
121456b300
13a2548a9
14675ab72
1544b2090
hex2ee2df0

49163760 has 160 divisors (see below), whose sum is σ = 172042560. Its totient is φ = 13063680.

The previous prime is 49163747. The next prime is 49163767. The reversal of 49163760 is 6736194.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49163767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174820 + ... + 175100.

It is an arithmetic number, because the mean of its divisors is an integer number (1075266).

Almost surely, 249163760 is an apocalyptic number.

49163760 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 49163760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86021280).

49163760 is an abundant number, since it is smaller than the sum of its proper divisors (122878800).

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

49163760 is an equidigital number, since it uses as much as digits as its factorization.

49163760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 49163760 is about 7011.6873860719. The cubic root of 49163760 is about 366.3377693489.

The spelling of 49163760 in words is "forty-nine million, one hundred sixty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 281 324 360 405 432 486 540 562 648 720 729 810 843 972 1080 1124 1215 1296 1405 1458 1620 1686 1944 2160 2187 2248 2430 2529 2810 2916 3240 3372 3645 3888 4215 4374 4496 4860 5058 5620 5832 6480 6744 7290 7587 8430 8748 9720 10116 10935 11240 11664 12645 13488 14580 15174 16860 17496 19440 20232 21870 22480 22761 25290 29160 30348 33720 34992 37935 40464 43740 45522 50580 58320 60696 67440 68283 75870 87480 91044 101160 113805 121392 136566 151740 174960 182088 202320 204849 227610 273132 303480 341415 364176 409698 455220 546264 606960 614547 682830 819396 910440 1024245 1092528 1229094 1365660 1638792 1820880 2048490 2458188 2731320 3072735 3277584 4096980 4916376 5462640 6145470 8193960 9832752 12290940 16387920 24581880 49163760