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745393248 = 25326773823
BaseRepresentation
bin101100011011011…
…100110001100000
31220221120220022100
4230123130301200
53011310040443
6201544210400
724320511105
oct5433346140
91827526270
10745393248
11352833a86
12189769a00
13bb5739c2
1470dd2aac
154568c3d3
hex2c6dcc60

745393248 has 72 divisors (see below), whose sum is σ = 2123398368. Its totient is φ = 248032512.

The previous prime is 745393247. The next prime is 745393267. The reversal of 745393248 is 842393547.

745393248 is a `hidden beast` number, since 74 + 539 + 3 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7453932482 = 1111222188327979008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745393241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193065 + ... + 196887.

It is an arithmetic number, because the mean of its divisors is an integer number (29491644).

Almost surely, 2745393248 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 745393248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061699184).

745393248 is an abundant number, since it is smaller than the sum of its proper divisors (1378005120).

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

745393248 is a wasteful number, since it uses less digits than its factorization.

745393248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4505 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 745393248 is about 27301.8909235240. The cubic root of 745393248 is about 906.6962471126.

The spelling of 745393248 in words is "seven hundred forty-five million, three hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 677 1354 2031 2708 3823 4062 5416 6093 7646 8124 10832 11469 12186 15292 16248 21664 22938 24372 30584 32496 34407 45876 48744 61168 64992 68814 91752 97488 122336 137628 183504 194976 275256 367008 550512 1101024 2588171 5176342 7764513 10352684 15529026 20705368 23293539 31058052 41410736 46587078 62116104 82821472 93174156 124232208 186348312 248464416 372696624 745393248