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745640448 = 293729907
BaseRepresentation
bin101100011100011…
…001001000000000
31220222001110101220
4230130121020000
53011340443243
6201553355040
724322560600
oct5434311000
91828043356
10745640448
11352992783
12189868a80
13bb62c387
1471058c00
15456da783
hex2c719200

745640448 has 120 divisors (see below), whose sum is σ = 2310981552. Its totient is φ = 213018624.

The previous prime is 745640437. The next prime is 745640449. The reversal of 745640448 is 844046547.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (745640449) 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, 70311 + ... + 80217.

Almost surely, 2745640448 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 745640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155490776).

745640448 is an abundant number, since it is smaller than the sum of its proper divisors (1565341104).

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

745640448 is an equidigital number, since it uses as much as digits as its factorization.

745640448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9942 (or 9919 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 745640448 is about 27306.4177071984. The cubic root of 745640448 is about 906.7964673834.

The spelling of 745640448 in words is "seven hundred forty-five million, six hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1536 1568 1792 2352 2688 3136 3584 4704 5376 6272 9408 9907 10752 12544 18816 19814 25088 29721 37632 39628 59442 69349 75264 79256 118884 138698 158512 208047 237768 277396 317024 416094 475536 485443 554792 634048 832188 951072 970886 1109584 1268096 1456329 1664376 1902144 1941772 2219168 2536192 2912658 3328752 3804288 3883544 4438336 5072384 5825316 6657504 7608576 7767088 8876672 11650632 13315008 15217152 15534176 17753344 23301264 26630016 31068352 35506688 46602528 53260032 62136704 93205056 106520064 124273408 186410112 248546816 372820224 745640448