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104457492 = 22334383271
BaseRepresentation
bin1100011100111…
…10010100010100
321021112222202000
412032132110110
5203220114432
614210515300
72405605536
oct616362424
9237488660
10104457492
1153a66507
122ab95b30
1318844689
14dc31856
15928557c
hex639e514

104457492 has 96 divisors (see below), whose sum is σ = 281487360. Its totient is φ = 33475680.

The previous prime is 104457491. The next prime is 104457511. The reversal of 104457492 is 294754401.

It is a happy number.

It is a super-2 number, since 2×1044574922 = 21822735269860128, 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 not an unprimeable number, because it can be changed into a prime (104457491) 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, 385317 + ... + 385587.

It is an arithmetic number, because the mean of its divisors is an integer number (2932160).

Almost surely, 2104457492 is an apocalyptic number.

104457492 is a gapful number since it is divisible by the number (12) 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 104457492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140743680).

104457492 is an abundant number, since it is smaller than the sum of its proper divisors (177029868).

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

104457492 is a wasteful number, since it uses less digits than its factorization.

104457492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 104457492 is about 10220.4448044104. Note that the first 3 decimals coincide. The cubic root of 104457492 is about 470.9554909460.

The spelling of 104457492 in words is "one hundred four million, four hundred fifty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 83 86 108 129 166 172 249 258 271 332 387 498 516 542 747 774 813 996 1084 1161 1494 1548 1626 2241 2322 2439 2988 3252 3569 4482 4644 4878 7138 7317 8964 9756 10707 11653 14276 14634 21414 22493 23306 29268 32121 34959 42828 44986 46612 64242 67479 69918 89972 96363 104877 128484 134958 139836 192726 202437 209754 269916 314631 385452 404874 419508 607311 629262 809748 967199 1214622 1258524 1934398 2429244 2901597 3868796 5803194 8704791 11606388 17409582 26114373 34819164 52228746 104457492