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74113776 = 24321171659
BaseRepresentation
bin1000110101011…
…10001011110000
312011110100222200
410122232023300
5122433120101
611204303200
71556646102
oct432561360
9164410880
1074113776
1138920860
12209a1b00
131247c109
149bb3572
15678e986
hex46ae2f0

74113776 has 120 divisors (see below), whose sum is σ = 229806720. Its totient is φ = 22108800.

The previous prime is 74113757. The next prime is 74113817. The reversal of 74113776 is 67731147.

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

It is a self number, because there is not a number n which added to its sum of digits gives 74113776.

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 23 ways as a sum of consecutive naturals, for example, 112135 + ... + 112793.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 274113776 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 74113776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

74113776 is an abundant number, since it is smaller than the sum of its proper divisors (155692944).

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

74113776 is a wasteful number, since it uses less digits than its factorization.

74113776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 746 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 74113776 is about 8608.9358227367. The cubic root of 74113776 is about 420.0487018355.

The spelling of 74113776 in words is "seventy-four million, one hundred thirteen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 71 72 88 99 132 142 144 176 198 213 264 284 396 426 528 568 639 659 781 792 852 1136 1278 1318 1562 1584 1704 1977 2343 2556 2636 3124 3408 3954 4686 5112 5272 5931 6248 7029 7249 7908 9372 10224 10544 11862 12496 14058 14498 15816 18744 21747 23724 28116 28996 31632 37488 43494 46789 47448 56232 57992 65241 86988 93578 94896 112464 115984 130482 140367 173976 187156 260964 280734 347952 374312 421101 514679 521928 561468 748624 842202 1029358 1043856 1122936 1544037 1684404 2058716 2245872 3088074 3368808 4117432 4632111 6176148 6737616 8234864 9264222 12352296 18528444 24704592 37056888 74113776