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84936852 = 2232711132357
BaseRepresentation
bin1010001000000…
…00100010010100
312220211020110100
411010000202110
5133220434402
612232254100
72050644210
oct504004224
9186736410
1084936852
1143a43350
1224541330
131479b4c0
14b3cd940
1576cb71c
hex5100894

84936852 has 144 divisors (see below), whose sum is σ = 288392832. Its totient is φ = 20355840.

The previous prime is 84936851. The next prime is 84936857. The reversal of 84936852 is 25863948.

It is a junction number, because it is equal to n+sod(n) for n = 84936798 and 84936807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84936851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34858 + ... + 37214.

It is an arithmetic number, because the mean of its divisors is an integer number (2002728).

Almost surely, 284936852 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 84936852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144196416).

84936852 is an abundant number, since it is smaller than the sum of its proper divisors (203455980).

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

84936852 is a wasteful number, since it uses less digits than its factorization.

84936852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2393 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 84936852 is about 9216.1191398549. The cubic root of 84936852 is about 439.5740574959.

The spelling of 84936852 in words is "eighty-four million, nine hundred thirty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2357 2574 2772 3003 3276 4004 4714 5148 6006 7071 9009 9428 12012 14142 16499 18018 21213 25927 28284 30641 32998 36036 42426 49497 51854 61282 65996 77781 84852 91923 98994 103708 122564 148491 155562 181489 183846 197988 214487 233343 275769 296982 311124 337051 362978 367692 428974 466686 544467 551538 593964 643461 674102 725956 857948 933372 1011153 1088934 1103076 1286922 1348204 1633401 1930383 2022306 2177868 2359357 2573844 3033459 3266802 3860766 4044612 4718714 6066918 6533604 7078071 7721532 9437428 12133836 14156142 21234213 28312284 42468426 84936852