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745314048 = 283511981
BaseRepresentation
bin101100011011001…
…001011100000000
31220221102212200000
4230123021130000
53011300022143
6201542400000
724320031153
oct5433113400
91827385600
10745314048
1135278a526
12189730000
13bb54693b
1470db1c9a
1545673bd3
hex2c6c9700

745314048 has 108 divisors (see below), whose sum is σ = 2228699928. Its totient is φ = 248417280.

The previous prime is 745314029. The next prime is 745314049. The reversal of 745314048 is 840413547.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×7453140482 = 1110986060292292608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745314049) 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, 56218 + ... + 68198.

Almost surely, 2745314048 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 745314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114349964).

745314048 is an abundant number, since it is smaller than the sum of its proper divisors (1483385880).

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

745314048 is an equidigital number, since it uses as much as digits as its factorization.

745314048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12012 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 745314048 is about 27300.4404360076. The cubic root of 745314048 is about 906.6641330187.

The spelling of 745314048 in words is "seven hundred forty-five million, three hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 11981 15552 20736 23962 31104 35943 47924 62208 71886 95848 107829 143772 191696 215658 287544 323487 383392 431316 575088 646974 766784 862632 970461 1150176 1293948 1533568 1725264 1940922 2300352 2587896 2911383 3067136 3450528 3881844 4600704 5175792 5822766 6901056 7763688 9201408 10351584 11645532 13802112 15527376 20703168 23291064 27604224 31054752 41406336 46582128 62109504 82812672 93164256 124219008 186328512 248438016 372657024 745314048