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45089408 = 27731379
BaseRepresentation
bin1010110000000…
…0001010000000
310010211210001002
42230000022000
543020330113
64250231132
71055153000
oct254001200
9103753032
1045089408
11234a7381
12131254a8
139459230
145dba000
153e59c58
hex2b00280

45089408 has 128 divisors (see below), whose sum is σ = 114240000. Its totient is φ = 17611776.

The previous prime is 45089371. The next prime is 45089419. The reversal of 45089408 is 80498054.

It is a tau number, because it is divible by the number of its divisors (128).

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, 570713 + ... + 570791.

It is an arithmetic number, because the mean of its divisors is an integer number (892500).

Almost surely, 245089408 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 45089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57120000).

45089408 is an abundant number, since it is smaller than the sum of its proper divisors (69150592).

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

45089408 is an equidigital number, since it uses as much as digits as its factorization.

45089408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 45089408 is about 6714.8647045194. The cubic root of 45089408 is about 355.9247410664.

The spelling of 45089408 in words is "forty-five million, eighty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 79 91 98 104 112 128 158 182 196 208 224 316 343 364 392 416 448 553 632 637 686 728 784 832 896 1027 1106 1264 1274 1372 1456 1568 1664 2054 2212 2528 2548 2744 2912 3136 3871 4108 4424 4459 5056 5096 5488 5824 6272 7189 7742 8216 8848 8918 10112 10192 10976 11648 14378 15484 16432 17696 17836 20384 21952 27097 28756 30968 32864 35392 35672 40768 43904 50323 54194 57512 61936 65728 70784 71344 81536 100646 108388 115024 123872 131456 142688 201292 216776 230048 247744 285376 352261 402584 433552 460096 495488 570752 704522 805168 867104 920192 1409044 1610336 1734208 2818088 3220672 3468416 5636176 6441344 11272352 22544704 45089408