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85500294 = 231122931131
BaseRepresentation
bin1010001100010…
…10000110000110
312221212212100120
411012022012012
5133342002134
612252322410
72055511665
oct506120606
9187785316
1085500294
1144298700
1224773406
1314937ab9
14b4d8ddc
15778d649
hex518a186

85500294 has 96 divisors (see below), whose sum is σ = 202245120. Its totient is φ = 24024000.

The previous prime is 85500281. The next prime is 85500307. The reversal of 85500294 is 49200558.

It is an interprime number because it is at equal distance from previous prime (85500281) and next prime (85500307).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652609 + ... + 652739.

It is an arithmetic number, because the mean of its divisors is an integer number (2106720).

Almost surely, 285500294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85500294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101122560).

85500294 is an abundant number, since it is smaller than the sum of its proper divisors (116744826).

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

85500294 is a wasteful number, since it uses less digits than its factorization.

85500294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 85500294 is about 9246.6369021391. The cubic root of 85500294 is about 440.5439106953.

The spelling of 85500294 in words is "eighty-five million, five hundred thousand, two hundred ninety-four".

Divisors: 1 2 3 6 11 22 29 31 33 58 62 66 87 93 121 131 174 186 242 262 319 341 363 393 638 682 726 786 899 957 1023 1441 1798 1914 2046 2697 2882 3509 3751 3799 4061 4323 5394 7018 7502 7598 8122 8646 9889 10527 11253 11397 12183 15851 19778 21054 22506 22794 24366 29667 31702 41789 44671 47553 59334 83578 89342 95106 108779 117769 125367 134013 217558 235538 250734 268026 326337 353307 459679 491381 652674 706614 919358 982762 1295459 1379037 1474143 2590918 2758074 2948286 3886377 7772754 14250049 28500098 42750147 85500294