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45404240 = 245789911
BaseRepresentation
bin1010110100110…
…1000001010000
310011102202220112
42231031001100
543110413430
64301100452
71060633610
oct255150120
9104382815
1045404240
11236a1972
1213257728
13953961b
14605ca40
153ebd195
hex2b4d050

45404240 has 80 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 15375360.

The previous prime is 45404239. The next prime is 45404257. The reversal of 45404240 is 4240454.

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

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, 49385 + ... + 50295.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 245404240 is an apocalyptic number.

45404240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

45404240 is an abundant number, since it is smaller than the sum of its proper divisors (76730800).

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

45404240 is a wasteful number, since it uses less digits than its factorization.

45404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 45404240 is about 6738.2668394773. The cubic root of 45404240 is about 356.7512226617.

Adding to 45404240 its reverse (4240454), we get a palindrome (49644694).

The spelling of 45404240 in words is "forty-five million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 89 112 140 178 280 356 445 560 623 712 890 911 1246 1424 1780 1822 2492 3115 3560 3644 4555 4984 6230 6377 7120 7288 9110 9968 12460 12754 14576 18220 24920 25508 31885 36440 49840 51016 63770 72880 81079 102032 127540 162158 255080 324316 405395 510160 567553 648632 810790 1135106 1297264 1621580 2270212 2837765 3243160 4540424 5675530 6486320 9080848 11351060 22702120 45404240