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84623240 = 235131091493
BaseRepresentation
bin1010000101100…
…11111110001000
312220020022021002
411002303332020
5133130420430
612221434132
72045166662
oct502637610
9186208232
1084623240
1143849769
122440b948
13146bb830
14b34b532
157668845
hex50b3f88

84623240 has 64 divisors (see below), whose sum is σ = 207068400. Its totient is φ = 30938112.

The previous prime is 84623213. The next prime is 84623251. The reversal of 84623240 is 4232648.

It can be written as a sum of positive squares in 8 ways, for example, as 46158436 + 38464804 = 6794^2 + 6202^2 .

It is a super-2 number, since 2×846232402 = 14322185496195200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55934 + ... + 57426.

Almost surely, 284623240 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 84623240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103534200).

84623240 is an abundant number, since it is smaller than the sum of its proper divisors (122445160).

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

84623240 is a wasteful number, since it uses less digits than its factorization.

84623240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 84623240 is about 9199.0890853388. The cubic root of 84623240 is about 439.0323777539.

Adding to 84623240 its reverse (4232648), we get a palindrome (88855888).

The spelling of 84623240 in words is "eighty-four million, six hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 109 130 218 260 436 520 545 872 1090 1417 1493 2180 2834 2986 4360 5668 5972 7085 7465 11336 11944 14170 14930 19409 28340 29860 38818 56680 59720 77636 97045 155272 162737 194090 325474 388180 650948 776360 813685 1301896 1627370 2115581 3254740 4231162 6509480 8462324 10577905 16924648 21155810 42311620 84623240