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85048152 = 23374361193
BaseRepresentation
bin1010001000110…
…11101101011000
312221000220010120
411010123231120
5133233020102
612234513240
72051616540
oct504335530
9187026116
1085048152
1144009a32
1224595820
131480a067
14b41c320
1576ee6bc
hex511bb58

85048152 has 128 divisors (see below), whose sum is σ = 254031360. Its totient is φ = 23224320.

The previous prime is 85048147. The next prime is 85048153. The reversal of 85048152 is 25184058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85048153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440568 + ... + 440760.

It is an arithmetic number, because the mean of its divisors is an integer number (1984620).

Almost surely, 285048152 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 85048152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127015680).

85048152 is an abundant number, since it is smaller than the sum of its proper divisors (168983208).

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

85048152 is a wasteful number, since it uses less digits than its factorization.

85048152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 85048152 is about 9222.1554964119. The cubic root of 85048152 is about 439.7659774810.

The spelling of 85048152 in words is "eighty-five million, forty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 61 84 86 122 129 168 172 183 193 244 258 301 344 366 386 427 488 516 579 602 732 772 854 903 1032 1158 1204 1281 1351 1464 1544 1708 1806 2316 2408 2562 2623 2702 3416 3612 4053 4632 5124 5246 5404 7224 7869 8106 8299 10248 10492 10808 11773 15738 16212 16598 18361 20984 23546 24897 31476 32424 33196 35319 36722 47092 49794 55083 58093 62952 66392 70638 73444 82411 94184 99588 110166 116186 141276 146888 164822 174279 199176 220332 232372 247233 282552 329644 348558 440664 464744 494466 506239 659288 697116 988932 1012478 1394232 1518717 1977864 2024956 3037434 3543673 4049912 6074868 7087346 10631019 12149736 14174692 21262038 28349384 42524076 85048152