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85820352 = 2631726293
BaseRepresentation
bin1010001110110…
…00001111000000
312222111010101120
411013120033000
5133432222402
612303232240
72061314052
oct507301700
9188433346
1085820352
1144497112
12248a8680
1314a1a697
14b57d8d2
1578033bc
hex51d83c0

85820352 has 56 divisors (see below), whose sum is σ = 240432336. Its totient is φ = 26923008.

The previous prime is 85820323. The next prime is 85820363. The reversal of 85820352 is 25302858.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9883 + ... + 16410.

Almost surely, 285820352 is an apocalyptic number.

It is an amenable number.

85820352 is an abundant number, since it is smaller than the sum of its proper divisors (154611984).

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

85820352 is a wasteful number, since it uses less digits than its factorization.

85820352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26325 (or 26315 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 85820352 is about 9263.9274608559. The cubic root of 85820352 is about 441.0929303697.

The spelling of 85820352 in words is "eighty-five million, eight hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 26293 52586 78879 105172 157758 210344 315516 420688 446981 631032 841376 893962 1262064 1340943 1682752 1787924 2524128 2681886 3575848 5048256 5363772 7151696 10727544 14303392 21455088 28606784 42910176 85820352