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74081568 = 2531131273
BaseRepresentation
bin1000110101001…
…10010100100000
312011101201210210
410122212110200
5122431102233
611203454120
71556453151
oct432462440
9164351723
1074081568
11388a9640
1220987340
131246a562
149ba5928
156785163
hex46a6520

74081568 has 144 divisors (see below), whose sum is σ = 222209568. Its totient is φ = 21427200.

The previous prime is 74081503. The next prime is 74081569. The reversal of 74081568 is 86518047.

It is not an unprimeable number, because it can be changed into a prime (74081569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1014780 + ... + 1014852.

It is an arithmetic number, because the mean of its divisors is an integer number (1543122).

Almost surely, 274081568 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 74081568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111104784).

74081568 is an abundant number, since it is smaller than the sum of its proper divisors (148128000).

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

74081568 is a wasteful number, since it uses less digits than its factorization.

74081568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 74081568 is about 8607.0650049828. The cubic root of 74081568 is about 419.9878454532.

The spelling of 74081568 in words is "seventy-four million, eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 73 88 93 96 124 132 146 176 186 219 248 264 292 341 352 372 438 496 528 584 682 744 803 876 961 992 1023 1056 1168 1364 1488 1606 1752 1922 2046 2263 2336 2409 2728 2883 2976 3212 3504 3844 4092 4526 4818 5456 5766 6424 6789 7008 7688 8184 9052 9636 10571 10912 11532 12848 13578 15376 16368 18104 19272 21142 23064 24893 25696 27156 30752 31713 32736 36208 38544 42284 46128 49786 54312 63426 70153 72416 74679 77088 84568 92256 99572 108624 126852 140306 149358 169136 199144 210459 217248 253704 280612 298716 338272 398288 420918 507408 561224 597432 771683 796576 841836 1014816 1122448 1194864 1543366 1683672 2244896 2315049 2389728 3086732 3367344 4630098 6173464 6734688 9260196 12346928 18520392 24693856 37040784 74081568