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74049248 = 2571359431
BaseRepresentation
bin1000110100111…
…10011011100000
312011100002110202
410122132123200
5122424033443
611203044332
71556260010
oct432363340
9164302422
1074049248
1138887329
12209706a8
1312458930
149b97c40
15677a7b8
hex469e6e0

74049248 has 96 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 28730880.

The previous prime is 74049233. The next prime is 74049253. The reversal of 74049248 is 84294047.

It is a super-2 number, since 2×740492482 = 10966582258731008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171593 + ... + 172023.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 274049248 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 74049248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

74049248 is an abundant number, since it is smaller than the sum of its proper divisors (108842272).

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

74049248 is a wasteful number, since it uses less digits than its factorization.

74049248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 74049248 is about 8605.1872728024. The cubic root of 74049248 is about 419.9267597158.

The spelling of 74049248 in words is "seventy-four million, forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 59 91 104 112 118 182 208 224 236 364 413 416 431 472 728 767 826 862 944 1456 1534 1652 1724 1888 2912 3017 3068 3304 3448 5369 5603 6034 6136 6608 6896 10738 11206 12068 12272 13216 13792 21476 22412 24136 24544 25429 39221 42952 44824 48272 50858 78442 85904 89648 96544 101716 156884 171808 178003 179296 203432 313768 330577 356006 406864 627536 661154 712012 813728 1255072 1322308 1424024 2314039 2644616 2848048 4628078 5289232 5696096 9256156 10578464 18512312 37024624 74049248