Search a number
-
+
84957696 = 2932103179
BaseRepresentation
bin1010001000001…
…01101000000000
312220212022001100
411010011220000
5133222121241
612232534400
72051062035
oct504055000
9186768040
1084957696
1143a57a7a
1224551400
13147a7b35
14b3d738c
1576d29b6
hex5105a00

84957696 has 120 divisors (see below), whose sum is σ = 248957280. Its totient is φ = 27887616.

The previous prime is 84957667. The next prime is 84957707. The reversal of 84957696 is 69675948.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 474535 + ... + 474713.

It is an arithmetic number, because the mean of its divisors is an integer number (2074644).

Almost surely, 284957696 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 84957696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124478640).

84957696 is an abundant number, since it is smaller than the sum of its proper divisors (163999584).

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

84957696 is a wasteful number, since it uses less digits than its factorization.

84957696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 84957696 is about 9217.2499152404. The cubic root of 84957696 is about 439.6100125693.

The spelling of 84957696 in words is "eighty-four million, nine hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 179 192 206 256 288 309 358 384 412 512 537 576 618 716 768 824 927 1074 1152 1236 1432 1536 1611 1648 1854 2148 2304 2472 2864 3222 3296 3708 4296 4608 4944 5728 6444 6592 7416 8592 9888 11456 12888 13184 14832 17184 18437 19776 22912 25776 26368 29664 34368 36874 39552 45824 51552 52736 55311 59328 68736 73748 79104 91648 103104 110622 118656 137472 147496 158208 165933 206208 221244 237312 274944 294992 331866 412416 442488 474624 589984 663732 824832 884976 1179968 1327464 1769952 2359936 2654928 3539904 4719872 5309856 7079808 9439744 10619712 14159616 21239424 28319232 42478848 84957696