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85283604 = 22347311213
BaseRepresentation
bin1010001010101…
…01001100010100
312221110212010000
411011111030110
5133313033404
612243531300
72053620150
oct505251424
9187425100
1085283604
114415a91a
1224689b30
1314890293
14b480060
157749339
hex5155314

85283604 has 120 divisors (see below), whose sum is σ = 263234048. Its totient is φ = 23561280.

The previous prime is 85283599. The next prime is 85283623. The reversal of 85283604 is 40638258.

It is a super-2 number, since 2×852836042 = 14546586222457632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 69702 + ... + 70914.

Almost surely, 285283604 is an apocalyptic number.

85283604 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85283604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131617024).

85283604 is an abundant number, since it is smaller than the sum of its proper divisors (177950444).

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

85283604 is a wasteful number, since it uses less digits than its factorization.

85283604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85283604 is about 9234.9122356414. The cubic root of 85283604 is about 440.1714276920.

The spelling of 85283604 in words is "eighty-five million, two hundred eighty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 324 372 378 434 558 567 651 756 837 868 1116 1134 1213 1302 1674 1953 2268 2426 2511 2604 3348 3639 3906 4852 5022 5859 7278 7812 8491 10044 10917 11718 14556 16982 17577 21834 23436 25473 32751 33964 35154 37603 43668 50946 65502 70308 75206 76419 98253 101892 112809 131004 150412 152838 196506 225618 229257 263221 305676 338427 393012 451236 458514 526442 676854 687771 789663 917028 1015281 1052884 1353708 1375542 1579326 2030562 2368989 2751084 3045843 3158652 4061124 4737978 6091686 7106967 9475956 12183372 14213934 21320901 28427868 42641802 85283604