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84887424 = 2732312377
BaseRepresentation
bin1010000111101…
…00011110000000
312220201201122200
411003310132000
5133212344144
612231233200
72050350126
oct503643600
9186651580
1084887424
1143a0a1a6
1224518800
1314781b5b
14b3b9916
1576bbc69
hex50f4780

84887424 has 96 divisors (see below), whose sum is σ = 252258240. Its totient is φ = 27371520.

The previous prime is 84887423. The next prime is 84887441. The reversal of 84887424 is 42478848.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 84887424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84887423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34524 + ... + 36900.

It is an arithmetic number, because the mean of its divisors is an integer number (2627690).

Almost surely, 284887424 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 84887424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126129120).

84887424 is an abundant number, since it is smaller than the sum of its proper divisors (167370816).

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

84887424 is a wasteful number, since it uses less digits than its factorization.

84887424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2413 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 84887424 is about 9213.4371436506. The cubic root of 84887424 is about 439.4887726362.

The spelling of 84887424 in words is "eighty-four million, eight hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2377 2976 3968 4464 4754 5952 7131 8928 9508 11904 14262 17856 19016 21393 28524 35712 38032 42786 57048 73687 76064 85572 114096 147374 152128 171144 221061 228192 294748 304256 342288 442122 456384 589496 663183 684576 884244 912768 1178992 1326366 1369152 1768488 2357984 2652732 2738304 3536976 4715968 5305464 7073952 9431936 10610928 14147904 21221856 28295808 42443712 84887424