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745527040 = 2852392437
BaseRepresentation
bin101100011011111…
…101011100000000
31220221211200211121
4230123331130000
53011323331130
6201551122024
724321606136
oct5433753400
91827750747
10745527040
11352915555
12189813314
13bb5bc87b
1471029756
15456b6d7a
hex2c6fd700

745527040 has 72 divisors (see below), whose sum is σ = 1793977920. Its totient is φ = 296841216.

The previous prime is 745527031. The next prime is 745527049. The reversal of 745527040 is 40725547.

745527040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (745527031) and next prime (745527049).

It is a junction number, because it is equal to n+sod(n) for n = 745526987 and 745527005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745527049) 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, 304702 + ... + 307138.

It is an arithmetic number, because the mean of its divisors is an integer number (24916360).

Almost surely, 2745527040 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 745527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896988960).

745527040 is an abundant number, since it is smaller than the sum of its proper divisors (1048450880).

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

745527040 is a wasteful number, since it uses less digits than its factorization.

745527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 34.

The square root of 745527040 is about 27304.3410468006. The cubic root of 745527040 is about 906.7504920575.

The spelling of 745527040 in words is "seven hundred forty-five million, five hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 256 320 478 640 956 1195 1280 1912 2390 2437 3824 4780 4874 7648 9560 9748 12185 15296 19120 19496 24370 30592 38240 38992 48740 61184 76480 77984 97480 152960 155968 194960 305920 311936 389920 582443 623872 779840 1164886 1559680 2329772 2912215 3119360 4659544 5824430 9319088 11648860 18638176 23297720 37276352 46595440 74552704 93190880 149105408 186381760 372763520 745527040