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745182464 = 2813312233
BaseRepresentation
bin101100011010101…
…001010100000000
31220221012012011112
4230122221110000
53011231314324
6201535502452
724315642425
oct5432512400
91827165145
10745182464
113526aa684
12189687a28
13bb4cba90
1470d79d4c
1545649c0e
hex2c6a9500

745182464 has 108 divisors (see below), whose sum is σ = 1662317748. Its totient is φ = 331407360.

The previous prime is 745182439. The next prime is 745182469. The reversal of 745182464 is 464281547.

It can be written as a sum of positive squares in 2 ways, for example, as 130142464 + 615040000 = 11408^2 + 24800^2 .

It is a super-2 number, since 2×7451824642 = 1110593809306222592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745182469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3198092 + ... + 3198324.

It is an arithmetic number, because the mean of its divisors is an integer number (15391831).

Almost surely, 2745182464 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 745182464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831158874).

745182464 is an abundant number, since it is smaller than the sum of its proper divisors (917135284).

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

745182464 is a wasteful number, since it uses less digits than its factorization.

745182464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 279 counting only the distinct ones).

The product of its digits is 215040, while the sum is 41.

The square root of 745182464 is about 27298.0304051410. The cubic root of 745182464 is about 906.6107731788.

The spelling of 745182464 in words is "seven hundred forty-five million, one hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 233 248 256 403 416 466 496 806 832 932 961 992 1612 1664 1864 1922 1984 3029 3224 3328 3728 3844 3968 6058 6448 7223 7456 7688 7936 12116 12493 12896 14446 14912 15376 24232 24986 25792 28892 29824 30752 48464 49972 51584 57784 59648 61504 93899 96928 99944 103168 115568 123008 187798 193856 199888 223913 231136 246016 375596 387712 399776 447826 462272 751192 775424 799552 895652 924544 1502384 1599104 1791304 1849088 2910869 3004768 3198208 3582608 5821738 6009536 7165216 11643476 12019072 14330432 23286952 24038144 28660864 46573904 57321728 93147808 186295616 372591232 745182464