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74896480 = 2551971347
BaseRepresentation
bin1000111011011…
…01010001100000
312012221010122201
410131231101200
5123133141410
611233142544
71566416041
oct435552140
9165833581
1074896480
113930591a
12210baa54
1312694459
149d388c8
15689683a
hex476d460

74896480 has 96 divisors (see below), whose sum is σ = 189423360. Its totient is φ = 27901440.

The previous prime is 74896457. The next prime is 74896483. The reversal of 74896480 is 8469847.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 74896480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74896483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215667 + ... + 216013.

It is an arithmetic number, because the mean of its divisors is an integer number (1973160).

Almost surely, 274896480 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 74896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94711680).

74896480 is an abundant number, since it is smaller than the sum of its proper divisors (114526880).

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

74896480 is a wasteful number, since it uses less digits than its factorization.

74896480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 74896480 is about 8654.2752440629. The cubic root of 74896480 is about 421.5222163138.

The spelling of 74896480 in words is "seventy-four million, eight hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 71 76 80 95 142 152 160 190 284 304 347 355 380 568 608 694 710 760 1136 1349 1388 1420 1520 1735 2272 2698 2776 2840 3040 3470 5396 5552 5680 6593 6745 6940 10792 11104 11360 13186 13490 13880 21584 24637 26372 26980 27760 32965 43168 49274 52744 53960 55520 65930 98548 105488 107920 123185 131860 197096 210976 215840 246370 263720 394192 468103 492740 527440 788384 936206 985480 1054880 1872412 1970960 2340515 3744824 3941920 4681030 7489648 9362060 14979296 18724120 37448240 74896480