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84922344 = 23341317593
BaseRepresentation
bin1010000111111…
…00111111101000
312220210111120000
411003330333220
5133220003334
612232103000
72050554003
oct503747750
9186714500
1084922344
1143a33461
1224534a60
1314794a10
14b3c853a
1576c7299
hex50fcfe8

84922344 has 160 divisors (see below), whose sum is σ = 271683720. Its totient is φ = 24551424.

The previous prime is 84922337. The next prime is 84922379. The reversal of 84922344 is 44322948.

It can be written as a sum of positive squares in 4 ways, for example, as 73102500 + 11819844 = 8550^2 + 3438^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 84922299 and 84922308.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142912 + ... + 143504.

Almost surely, 284922344 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 84922344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135841860).

84922344 is an abundant number, since it is smaller than the sum of its proper divisors (186761376).

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

84922344 is a wasteful number, since it uses less digits than its factorization.

84922344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 628 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 84922344 is about 9215.3320070413. The cubic root of 84922344 is about 439.5490282991.

The spelling of 84922344 in words is "eighty-four million, nine hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 81 102 104 108 117 136 153 156 162 204 216 221 234 306 312 324 351 408 442 459 468 593 612 648 663 702 884 918 936 1053 1186 1224 1326 1377 1404 1768 1779 1836 1989 2106 2372 2652 2754 2808 3558 3672 3978 4212 4744 5304 5337 5508 5967 7116 7709 7956 8424 10081 10674 11016 11934 14232 15418 15912 16011 17901 20162 21348 23127 23868 30243 30836 32022 35802 40324 42696 46254 47736 48033 60486 61672 64044 69381 71604 80648 90729 92508 96066 120972 128088 131053 138762 143208 181458 185016 192132 208143 241944 262106 272187 277524 362916 384264 393159 416286 524212 544374 555048 624429 725832 786318 816561 832572 1048424 1088748 1179477 1248858 1572636 1633122 1665144 2177496 2358954 2497716 3145272 3266244 3538431 4717908 4995432 6532488 7076862 9435816 10615293 14153724 21230586 28307448 42461172 84922344