Search a number
-
+
85428980 = 22571373643
BaseRepresentation
bin1010001011110…
…00101011110100
312221202020112022
411011320223310
5133332211410
612251012312
72055064040
oct505705364
9187666468
1085428980
114424a06a
122473a098
13149114c0
14b4bb020
157777455
hex5178af4

85428980 has 96 divisors (see below), whose sum is σ = 224173824. Its totient is φ = 26625024.

The previous prime is 85428947. The next prime is 85428989. The reversal of 85428980 is 8982458.

It is a super-2 number, since 2×854289802 = 14596221247680800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85428989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132539 + ... + 133181.

It is an arithmetic number, because the mean of its divisors is an integer number (2335144).

Almost surely, 285428980 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 85428980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112086912).

85428980 is an abundant number, since it is smaller than the sum of its proper divisors (138744844).

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

85428980 is a wasteful number, since it uses less digits than its factorization.

85428980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 85428980 is about 9242.7798848615. The cubic root of 85428980 is about 440.4213938174.

The spelling of 85428980 in words is "eighty-five million, four hundred twenty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 73 91 130 140 146 182 260 292 364 365 455 511 643 730 910 949 1022 1286 1460 1820 1898 2044 2555 2572 3215 3796 4501 4745 5110 6430 6643 8359 9002 9490 10220 12860 13286 16718 18004 18980 22505 26572 33215 33436 41795 45010 46939 58513 66430 83590 90020 93878 117026 132860 167180 187756 234052 234695 292565 328573 469390 585130 610207 657146 938780 1170260 1220414 1314292 1642865 2440828 3051035 3285730 4271449 6102070 6571460 8542898 12204140 17085796 21357245 42714490 85428980