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45409680 = 2433521023
BaseRepresentation
bin1010110100111…
…0010110010000
310011110001101000
42231032112100
543111102210
64301142000
71060655511
oct255162620
9104401330
1045409680
11236a5a68
121325a900
13953bc44
146060a08
153ebeac0
hex2b4e590

45409680 has 80 divisors (see below), whose sum is σ = 156418560. Its totient is φ = 12108672.

The previous prime is 45409667. The next prime is 45409691. The reversal of 45409680 is 8690454.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8352 + ... + 12671.

It is an arithmetic number, because the mean of its divisors is an integer number (1955232).

Almost surely, 245409680 is an apocalyptic number.

45409680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45409680 is an abundant number, since it is smaller than the sum of its proper divisors (111008880).

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

45409680 is a wasteful number, since it uses less digits than its factorization.

45409680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21045 (or 21033 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45409680 is about 6738.6704920184. The cubic root of 45409680 is about 356.7654698564.

The spelling of 45409680 in words is "forty-five million, four hundred nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 21023 42046 63069 84092 105115 126138 168184 189207 210230 252276 315345 336368 378414 420460 504552 567621 630690 756828 840920 946035 1009104 1135242 1261380 1513656 1681840 1892070 2270484 2522760 2838105 3027312 3784140 4540968 5045520 5676210 7568280 9081936 11352420 15136560 22704840 45409680