Search a number
-
+
49958508196 = 222324321132
BaseRepresentation
bin101110100001110000…
…100101011010100100
311202221200202011120101
4232201300211122210
51304303334230241
634541200113444
73416006212252
oct564160453244
9152850664511
1049958508196
111a207303703
129823005884
1349322a316c
1425bd00d5d2
151475deae31
hexba1c256a4

49958508196 has 81 divisors (see below), whose sum is σ = 94404086049. Its totient is φ = 23131016832.

The previous prime is 49958508167. The next prime is 49958508233. The reversal of 49958508196 is 69180585994.

The square root of 49958508196 is 223514.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 880308900 + 49078199296 = 29670^2 + 221536^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 442110636 + ... + 442110748.

Almost surely, 249958508196 is an apocalyptic number.

49958508196 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

49958508196 is the 223514-th square number.

It is an amenable number.

49958508196 is a deficient number, since it is larger than the sum of its proper divisors (44445577853).

49958508196 is a wasteful number, since it uses less digits than its factorization.

49958508196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 64.

Multiplying 49958508196 by its sum of digits (64), we get a square (3197344524544 = 17881122).

The spelling of 49958508196 in words is "forty-nine billion, nine hundred fifty-eight million, five hundred eight thousand, one hundred ninety-six".

Divisors: 1 2 4 23 43 46 86 92 113 172 226 452 529 989 1058 1849 1978 2116 2599 3698 3956 4859 5198 7396 9718 10396 12769 19436 22747 25538 42527 45494 51076 59777 85054 90988 111757 119554 170108 208937 223514 239108 293687 417874 447028 549067 587374 835748 978121 1098134 1174748 1956242 2196268 2570411 3912484 4805551 5140822 6754801 9611102 10281644 12628541 13509602 19222204 23609881 25257082 27019204 47219762 50514164 94439524 110527673 221055346 290456443 442110692 543027263 580912886 1086054526 1161825772 2172109052 12489627049 24979254098 49958508196