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441451104 = 25317833259
BaseRepresentation
bin11010010100000…
…000001001100000
31010202200001001220
4122110000021200
51401002413404
6111445455040
713640162313
oct3224001140
91122601056
10441451104
11207207826
12103a11480
13705c5793
14428b497a
1528b504d9
hex1a500260

441451104 has 96 divisors (see below), whose sum is σ = 1242138240. Its totient is φ = 136783872.

The previous prime is 441451097. The next prime is 441451133. The reversal of 441451104 is 401154144.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133827 + ... + 137085.

It is an arithmetic number, because the mean of its divisors is an integer number (12938940).

Almost surely, 2441451104 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 441451104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621069120).

441451104 is an abundant number, since it is smaller than the sum of its proper divisors (800687136).

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

441451104 is a wasteful number, since it uses less digits than its factorization.

441451104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 441451104 is about 21010.7378261688. The cubic root of 441451104 is about 761.4257079154.

The spelling of 441451104 in words is "four hundred forty-one million, four hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 83 96 102 136 166 204 249 272 332 408 498 544 664 816 996 1328 1411 1632 1992 2656 2822 3259 3984 4233 5644 6518 7968 8466 9777 11288 13036 16932 19554 22576 26072 33864 39108 45152 52144 55403 67728 78216 104288 110806 135456 156432 166209 221612 270497 312864 332418 443224 540994 664836 811491 886448 1081988 1329672 1622982 1772896 2163976 2659344 3245964 4327952 4598449 5318688 6491928 8655904 9196898 12983856 13795347 18393796 25967712 27590694 36787592 55181388 73575184 110362776 147150368 220725552 441451104