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45399240 = 23325235483
BaseRepresentation
bin1010110100101…
…1110011001000
310011102112001100
42231023303020
543110233430
64301021400
71060613205
oct255136310
9104375040
1045399240
1123699137
1213254860
139537273
14605acac
153ebb960
hex2b4bcc8

45399240 has 96 divisors (see below), whose sum is σ = 153990720. Its totient is φ = 11577984.

The previous prime is 45399223. The next prime is 45399247. The reversal of 45399240 is 4299354.

45399240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×453992402 = 4122181985155200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 45399195 and 45399204.

It is not an unprimeable number, because it can be changed into a prime (45399247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5539 + ... + 11021.

It is an arithmetic number, because the mean of its divisors is an integer number (1604070).

Almost surely, 245399240 is an apocalyptic number.

45399240 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 45399240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76995360).

45399240 is an abundant number, since it is smaller than the sum of its proper divisors (108591480).

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

45399240 is a wasteful number, since it uses less digits than its factorization.

45399240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 45399240 is about 6737.8958139763. The cubic root of 45399240 is about 356.7381268099.

The spelling of 45399240 in words is "forty-five million, three hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 5483 8280 10966 16449 21932 27415 32898 43864 49347 54830 65796 82245 98694 109660 126109 131592 164490 197388 219320 246735 252218 328980 378327 394776 493470 504436 630545 657960 756654 986940 1008872 1134981 1261090 1513308 1891635 1973880 2269962 2522180 3026616 3783270 4539924 5044360 5674905 7566540 9079848 11349810 15133080 22699620 45399240