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85570338 = 23719157683
BaseRepresentation
bin1010001100110…
…11001100100010
312222000102102210
411012123030202
5133401222323
612254022550
72056223130
oct506331442
9188012383
1085570338
1144336297
12247a7a56
1314960949
14b516750
1577a4293
hex519b322

85570338 has 64 divisors (see below), whose sum is σ = 207498240. Its totient is φ = 22980672.

The previous prime is 85570313. The next prime is 85570343. The reversal of 85570338 is 83307558.

It is a junction number, because it is equal to n+sod(n) for n = 85570296 and 85570305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124945 + ... + 125627.

It is an arithmetic number, because the mean of its divisors is an integer number (3242160).

Almost surely, 285570338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85570338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103749120).

85570338 is an abundant number, since it is smaller than the sum of its proper divisors (121927902).

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

85570338 is a wasteful number, since it uses less digits than its factorization.

85570338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871.

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 85570338 is about 9250.4236659734. The cubic root of 85570338 is about 440.6641794245.

The spelling of 85570338 in words is "eighty-five million, five hundred seventy thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 157 266 314 399 471 683 798 942 1099 1366 2049 2198 2983 3297 4098 4781 5966 6594 8949 9562 12977 14343 17898 20881 25954 28686 38931 41762 62643 77862 90839 107231 125286 181678 214462 272517 321693 545034 643386 750617 1501234 2037389 2251851 4074778 4503702 6112167 12224334 14261723 28523446 42785169 85570338