Search a number
-
+
85543744 = 2611132719
BaseRepresentation
bin1010001100101…
…00101101000000
312221222001221211
411012110231000
5133344344434
612253255504
72056052446
oct506245500
9187861854
1085543744
1144318310
1224794594
1314951800
14b50ab96
15779b464
hex5194b40

85543744 has 84 divisors (see below), whose sum is σ = 200802240. Its totient is φ = 35842560.

The previous prime is 85543723. The next prime is 85543747. The reversal of 85543744 is 44734558.

Its product of digits (268800) is a multiple of the sum of its prime factors (768).

It is a junction number, because it is equal to n+sod(n) for n = 85543697 and 85543706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85543747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118617 + ... + 119335.

Almost surely, 285543744 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 85543744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100401120).

85543744 is an abundant number, since it is smaller than the sum of its proper divisors (115258496).

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

85543744 is a wasteful number, since it uses less digits than its factorization.

85543744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 745 counting only the distinct ones).

The product of its digits is 268800, while the sum is 40.

The square root of 85543744 is about 9248.9861065957. The cubic root of 85543744 is about 440.6185240502.

The spelling of 85543744 in words is "eighty-five million, five hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 169 176 208 286 338 352 416 572 676 704 719 832 1144 1352 1438 1859 2288 2704 2876 3718 4576 5408 5752 7436 7909 9152 9347 10816 11504 14872 15818 18694 23008 29744 31636 37388 46016 59488 63272 74776 102817 118976 121511 126544 149552 205634 243022 253088 299104 411268 486044 506176 598208 822536 972088 1336621 1645072 1944176 2673242 3290144 3888352 5346484 6580288 7776704 10692968 21385936 42771872 85543744