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85554378 = 232713192749
BaseRepresentation
bin1010001100101…
…11010011001010
312221222121112200
411012113103022
5133400220003
612253421030
72056125450
oct506272312
9187877480
1085554378
11443252a8
122479a776
13149565c0
14b5109d0
15779e6a3
hex51974ca

85554378 has 96 divisors (see below), whose sum is σ = 240240000. Its totient is φ = 21368448.

The previous prime is 85554347. The next prime is 85554409. The reversal of 85554378 is 87345558.

It is an interprime number because it is at equal distance from previous prime (85554347) and next prime (85554409).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 29748 + ... + 32496.

It is an arithmetic number, because the mean of its divisors is an integer number (2502500).

Almost surely, 285554378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85554378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120120000).

85554378 is an abundant number, since it is smaller than the sum of its proper divisors (154685622).

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

85554378 is a wasteful number, since it uses less digits than its factorization.

85554378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2793 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 85554378 is about 9249.5609625538. The cubic root of 85554378 is about 440.6367811547.

The spelling of 85554378 in words is "eighty-five million, five hundred fifty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 57 63 78 91 114 117 126 133 171 182 234 247 266 273 342 399 494 546 741 798 819 1197 1482 1638 1729 2223 2394 2749 3458 4446 5187 5498 8247 10374 15561 16494 19243 24741 31122 35737 38486 49482 52231 57729 71474 104462 107211 115458 156693 173187 214422 250159 313386 321633 346374 365617 470079 500318 643266 679003 731234 750477 940158 1096851 1358006 1500954 2037009 2193702 2251431 3290553 4074018 4502862 4753021 6111027 6581106 9506042 12222054 14259063 28518126 42777189 85554378