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94895136 = 25327103457
BaseRepresentation
bin1011010011111…
…11110000100000
320121120011122200
411221333300200
5143243121021
613225533200
72231411130
oct551776040
9217504580
1094895136
1149625136
1227944200
131687708b
14c862ac0
1584e7126
hex5a7fc20

94895136 has 144 divisors (see below), whose sum is σ = 312084864. Its totient is φ = 26790912.

The previous prime is 94895117. The next prime is 94895159. The reversal of 94895136 is 63159849.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 94895091 and 94895100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207420 + ... + 207876.

It is an arithmetic number, because the mean of its divisors is an integer number (2167256).

Almost surely, 294895136 is an apocalyptic number.

94895136 is a gapful number since it is divisible by the number (96) 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 94895136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156042432).

94895136 is an abundant number, since it is smaller than the sum of its proper divisors (217189728).

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

94895136 is a wasteful number, since it uses less digits than its factorization.

94895136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 572 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 94895136 is about 9741.4134498029. The cubic root of 94895136 is about 456.1223125263.

The spelling of 94895136 in words is "ninety-four million, eight hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 103 112 126 144 168 206 224 252 288 309 336 412 457 504 618 672 721 824 914 927 1008 1236 1371 1442 1648 1828 1854 2016 2163 2472 2742 2884 3199 3296 3656 3708 4113 4326 4944 5484 5768 6398 6489 7312 7416 8226 8652 9597 9888 10968 11536 12796 12978 14624 14832 16452 17304 19194 21936 23072 25592 25956 28791 29664 32904 34608 38388 43872 47071 51184 51912 57582 65808 69216 76776 94142 102368 103824 115164 131616 141213 153552 188284 207648 230328 282426 307104 329497 376568 423639 460656 564852 658994 753136 847278 921312 988491 1129704 1317988 1506272 1694556 1976982 2259408 2635976 2965473 3389112 3953964 4518816 5271952 5930946 6778224 7907928 10543904 11861892 13556448 15815856 23723784 31631712 47447568 94895136