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84245436 = 223211229929
BaseRepresentation
bin1010000010101…
…11101110111100
312212112010000100
411001113232330
5133031323221
612205401100
72042034342
oct501275674
9185463010
1084245436
1143610930
1224269190
13145b8892
14b28d992
1575e1926
hex5057bbc

84245436 has 72 divisors (see below), whose sum is σ = 233578800. Its totient is φ = 25390080.

The previous prime is 84245429. The next prime is 84245437. The reversal of 84245436 is 63454248.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84245436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84245437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90220 + ... + 91148.

It is an arithmetic number, because the mean of its divisors is an integer number (3244150).

Almost surely, 284245436 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 84245436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116789400).

84245436 is an abundant number, since it is smaller than the sum of its proper divisors (149333364).

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

84245436 is a wasteful number, since it uses less digits than its factorization.

84245436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1174 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 84245436 is about 9178.5312550538. The cubic root of 84245436 is about 438.3780435374.

It can be divided in two parts, 84245 and 436, that added together give a square (84681 = 2912).

The spelling of 84245436 in words is "eighty-four million, two hundred forty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 229 396 458 687 916 929 1374 1858 2061 2519 2748 2787 3716 4122 5038 5574 7557 8244 8361 10076 10219 11148 15114 16722 20438 22671 30228 30657 33444 40876 45342 61314 90684 91971 122628 183942 212741 367884 425482 638223 850964 1276446 1914669 2340151 2552892 3829338 4680302 7020453 7658676 9360604 14040906 21061359 28081812 42122718 84245436