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51441408 = 283283269
BaseRepresentation
bin1100010000111…
…0111100000000
310120210111100100
43010032330000
5101132111113
65034322400
71163146644
oct304167400
9116714310
1051441408
1127045767
1215289400
13a871505
146b90c24
1547b1d73
hex310ef00

51441408 has 108 divisors (see below), whose sum is σ = 150663240. Its totient is φ = 16877568.

The previous prime is 51441353. The next prime is 51441413. The reversal of 51441408 is 80414415.

It is a happy number.

51441408 is a `hidden beast` number, since 514 + 4 + 140 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191098 + ... + 191366.

It is an arithmetic number, because the mean of its divisors is an integer number (1395030).

Almost surely, 251441408 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 51441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75331620).

51441408 is an abundant number, since it is smaller than the sum of its proper divisors (99221832).

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

51441408 is a wasteful number, since it uses less digits than its factorization.

51441408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 51441408 is about 7172.2665873488. The cubic root of 51441408 is about 371.9097942916.

The spelling of 51441408 in words is "fifty-one million, four hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 269 288 332 384 498 538 576 664 747 768 807 996 1076 1152 1328 1494 1614 1992 2152 2304 2421 2656 2988 3228 3984 4304 4842 5312 5976 6456 7968 8608 9684 10624 11952 12912 15936 17216 19368 21248 22327 23904 25824 31872 34432 38736 44654 47808 51648 63744 66981 68864 77472 89308 95616 103296 133962 154944 178616 191232 200943 206592 267924 309888 357232 401886 535848 619776 714464 803772 1071696 1428928 1607544 2143392 2857856 3215088 4286784 5715712 6430176 8573568 12860352 17147136 25720704 51441408