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84289296 = 24371323839
BaseRepresentation
bin1010000011000…
…10011100010000
312212121100011210
411001202130100
5133034224141
612210340120
72042306250
oct501423420
9185540153
1084289296
1143640883
122428a640
1314602830
14b2a1960
1575ee916
hex5062710

84289296 has 160 divisors (see below), whose sum is σ = 279982080. Its totient is φ = 21238272.

The previous prime is 84289291. The next prime is 84289313. The reversal of 84289296 is 69298248.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (84289291) 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, 100045 + ... + 100883.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 284289296 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 84289296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

84289296 is an abundant number, since it is smaller than the sum of its proper divisors (195692784).

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

84289296 is a wasteful number, since it uses less digits than its factorization.

84289296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 887 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 84289296 is about 9180.9202153161. The cubic root of 84289296 is about 438.4541067093.

The spelling of 84289296 in words is "eighty-four million, two hundred eighty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 104 112 138 156 161 168 182 184 208 273 276 299 312 322 336 364 368 483 546 552 598 624 644 728 839 897 966 1092 1104 1196 1288 1456 1678 1794 1932 2093 2184 2392 2517 2576 3356 3588 3864 4186 4368 4784 5034 5873 6279 6712 7176 7728 8372 10068 10907 11746 12558 13424 14352 16744 17619 19297 20136 21814 23492 25116 32721 33488 35238 38594 40272 43628 46984 50232 57891 65442 70476 76349 77188 87256 93968 100464 115782 130884 135079 140952 152698 154376 174512 229047 231564 250861 261768 270158 281904 305396 308752 405237 458094 463128 501722 523536 540316 610792 752583 810474 916188 926256 1003444 1080632 1221584 1505166 1620948 1756027 1832376 2006888 2161264 3010332 3241896 3512054 3664752 4013776 5268081 6020664 6483792 7024108 10536162 12041328 14048216 21072324 28096432 42144648 84289296