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45990912 = 2103111361
BaseRepresentation
bin1010111101110…
…0010000000000
310012112120200010
42233130100000
543233202122
64321424520
71065626202
oct257342000
9105476603
1045990912
1123a62720
121349b140
1396b3676
146172772
154086e0c
hex2bdc400

45990912 has 88 divisors (see below), whose sum is σ = 133824672. Its totient is φ = 13926400.

The previous prime is 45990911. The next prime is 45990929. The reversal of 45990912 is 21909954.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (45990911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33112 + ... + 34472.

Almost surely, 245990912 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 45990912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66912336).

45990912 is an abundant number, since it is smaller than the sum of its proper divisors (87833760).

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

45990912 is a wasteful number, since it uses less digits than its factorization.

45990912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 45990912 is about 6781.6599737822. The cubic root of 45990912 is about 358.2811893598.

The spelling of 45990912 in words is "forty-five million, nine hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1361 1408 1536 2112 2722 2816 3072 4083 4224 5444 5632 8166 8448 10888 11264 14971 16332 16896 21776 29942 32664 33792 43552 44913 59884 65328 87104 89826 119768 130656 174208 179652 239536 261312 348416 359304 479072 522624 696832 718608 958144 1045248 1393664 1437216 1916288 2090496 2874432 3832576 4180992 5748864 7665152 11497728 15330304 22995456 45990912