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49098192 = 243111323311
BaseRepresentation
bin1011101101001…
…0110111010000
310102101110001120
42323102313100
5100032120232
64512202240
71134220263
oct273226720
9112343046
1049098192
1125795220
1214539380
13a230ab0
146740cda
15449c92c
hex2ed2dd0

49098192 has 160 divisors (see below), whose sum is σ = 155990016. Its totient is φ = 13094400.

The previous prime is 49098191. The next prime is 49098209. The reversal of 49098192 is 29189094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49098191) 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, 157717 + ... + 158027.

Almost surely, 249098192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49098192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

49098192 is an abundant number, since it is smaller than the sum of its proper divisors (106891824).

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

49098192 is a wasteful number, since it uses less digits than its factorization.

49098192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 49098192 is about 7007.0102040742. The cubic root of 49098192 is about 366.1748395743.

The spelling of 49098192 in words is "forty-nine million, ninety-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 23 24 26 33 39 44 46 48 52 66 69 78 88 92 104 132 138 143 156 176 184 208 253 264 276 286 299 311 312 368 429 506 528 552 572 598 622 624 759 858 897 933 1012 1104 1144 1196 1244 1518 1716 1794 1866 2024 2288 2392 2488 3036 3289 3421 3432 3588 3732 4043 4048 4784 4976 6072 6578 6842 6864 7153 7176 7464 8086 9867 10263 12129 12144 13156 13684 14306 14352 14928 16172 19734 20526 21459 24258 26312 27368 28612 32344 39468 41052 42918 44473 48516 52624 54736 57224 64688 78683 78936 82104 85836 88946 92989 97032 114448 133419 157366 157872 164208 171672 177892 185978 194064 236049 266838 278967 314732 343344 355784 371956 472098 533676 557934 629464 711568 743912 944196 1022879 1067352 1115868 1258928 1487824 1888392 2045758 2134704 2231736 3068637 3776784 4091516 4463472 6137274 8183032 12274548 16366064 24549096 49098192