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85867056 = 243211151359
BaseRepresentation
bin1010001111000…
…11101000110000
312222120111110100
411013203220300
5133440221211
612304232400
72061600162
oct507435060
9188514410
1085867056
1144519210
122490b700
1314a35a12
14b592932
157812156
hex51e3a30

85867056 has 120 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 25776000.

The previous prime is 85867043. The next prime is 85867081. The reversal of 85867056 is 65076858.

It is a super-2 number, since 2×858670562 = 14746302612214272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239005 + ... + 239363.

It is an arithmetic number, because the mean of its divisors is an integer number (2205216).

Almost surely, 285867056 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 85867056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

85867056 is an abundant number, since it is smaller than the sum of its proper divisors (178758864).

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

85867056 is a wasteful number, since it uses less digits than its factorization.

85867056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 85867056 is about 9266.4478631243. The cubic root of 85867056 is about 441.1729310838.

The spelling of 85867056 in words is "eighty-five million, eight hundred sixty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 151 176 198 264 302 359 396 453 528 604 718 792 906 1077 1208 1359 1436 1584 1661 1812 2154 2416 2718 2872 3231 3322 3624 3949 4308 4983 5436 5744 6462 6644 7248 7898 8616 9966 10872 11847 12924 13288 14949 15796 17232 19932 21744 23694 25848 26576 29898 31592 35541 39864 47388 51696 54209 59796 63184 71082 79728 94776 108418 119592 142164 162627 189552 216836 239184 284328 325254 433672 487881 568656 596299 650508 867344 975762 1192598 1301016 1788897 1951524 2385196 2602032 3577794 3903048 4770392 5366691 7155588 7806096 9540784 10733382 14311176 21466764 28622352 42933528 85867056