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49705992 = 23327273193
BaseRepresentation
bin1011110110011…
…1010000001000
310110112022210200
42331213100020
5100211042432
64533212200
71142331300
oct275472010
9113468720
1049705992
112606a936
1214791060
13a3b463b
14685c600
15456ca7c
hex2f67408

49705992 has 144 divisors (see below), whose sum is σ = 159566940. Its totient is φ = 13934592.

The previous prime is 49705991. The next prime is 49705993. The reversal of 49705992 is 29950794.

It is an interprime number because it is at equal distance from previous prime (49705991) and next prime (49705993).

It can be written as a sum of positive squares in 2 ways, for example, as 49196196 + 509796 = 7014^2 + 714^2 .

It is not an unprimeable number, because it can be changed into a prime (49705991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 257448 + ... + 257640.

Almost surely, 249705992 is an apocalyptic number.

49705992 is a gapful number since it is divisible by the number (42) 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 49705992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79783470).

49705992 is an abundant number, since it is smaller than the sum of its proper divisors (109860948).

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

49705992 is a wasteful number, since it uses less digits than its factorization.

49705992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 49705992 is about 7050.2476552246. The cubic root of 49705992 is about 367.6796400658.

The spelling of 49705992 in words is "forty-nine million, seven hundred five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 73 84 98 126 146 147 168 193 196 219 252 292 294 386 392 438 441 504 511 579 584 588 657 772 876 882 1022 1158 1176 1314 1351 1533 1544 1737 1752 1764 2044 2316 2628 2702 3066 3474 3528 3577 4053 4088 4599 4632 5256 5404 6132 6948 7154 8106 9198 9457 10731 10808 12159 12264 13896 14089 14308 16212 18396 18914 21462 24318 28178 28371 28616 32193 32424 36792 37828 42267 42924 48636 56356 56742 64386 75656 84534 85113 85848 97272 98623 112712 113484 126801 128772 169068 170226 197246 226968 253602 257544 295869 338136 340452 394492 507204 591738 680904 690361 788984 887607 1014408 1183476 1380722 1775214 2071083 2366952 2761444 3550428 4142166 5522888 6213249 7100856 8284332 12426498 16568664 24852996 49705992