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455146104 = 23372834663
BaseRepresentation
bin11011001000001…
…111101001111000
31011201102211002010
4123020033221320
51413004133404
6113055205520
714164451400
oct3310175170
91151384063
10455146104
11213a11006
121085168a0
13733ac12a
144463b800
1529e58189
hex1b20fa78

455146104 has 96 divisors (see below), whose sum is σ = 1339873920. Its totient is φ = 128447424.

The previous prime is 455146091. The next prime is 455146127. The reversal of 455146104 is 401641554.

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, 95277 + ... + 99939.

It is an arithmetic number, because the mean of its divisors is an integer number (13957020).

Almost surely, 2455146104 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 455146104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669936960).

455146104 is an abundant number, since it is smaller than the sum of its proper divisors (884727816).

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

455146104 is a wasteful number, since it uses less digits than its factorization.

455146104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 455146104 is about 21334.1534634023. The cubic root of 455146104 is about 769.2194845750.

Adding to 455146104 its reverse (401641554), we get a palindrome (856787658).

The spelling of 455146104 in words is "four hundred fifty-five million, one hundred forty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 83 84 98 147 166 168 196 249 294 332 392 498 581 588 664 996 1162 1176 1743 1992 2324 3486 4067 4648 4663 6972 8134 9326 12201 13944 13989 16268 18652 24402 27978 32536 32641 37304 48804 55956 65282 97608 97923 111912 130564 195846 228487 261128 387029 391692 456974 685461 774058 783384 913948 1161087 1370922 1548116 1827896 2322174 2709203 2741844 3096232 4644348 5418406 5483688 8127609 9288696 10836812 16255218 18964421 21673624 32510436 37928842 56893263 65020872 75857684 113786526 151715368 227573052 455146104