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75542016 = 2931117263
BaseRepresentation
bin1001000000010…
…10111000000000
312021010221011110
410200022320000
5123314321031
611255043320
71605045054
oct440127000
9167127143
1075542016
1139706920
1221370540
131285c224
14a065c64
156972c46
hex480ae00

75542016 has 160 divisors (see below), whose sum is σ = 233342208. Its totient is φ = 21463040.

The previous prime is 75542003. The next prime is 75542017. The reversal of 75542016 is 61024557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75542017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287101 + ... + 287363.

Almost surely, 275542016 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 75542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116671104).

75542016 is an abundant number, since it is smaller than the sum of its proper divisors (157800192).

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

75542016 is a wasteful number, since it uses less digits than its factorization.

75542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 75542016 is about 8691.4910113283. The cubic root of 75542016 is about 422.7297929490.

The spelling of 75542016 in words is "seventy-five million, five hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 263 264 272 352 374 384 408 512 526 528 544 561 704 748 768 789 816 1052 1056 1088 1122 1408 1496 1536 1578 1632 2104 2112 2176 2244 2816 2893 2992 3156 3264 4208 4224 4352 4471 4488 5632 5786 5984 6312 6528 8416 8448 8679 8704 8942 8976 11572 11968 12624 13056 13413 16832 16896 17358 17884 17952 23144 23936 25248 26112 26826 33664 34716 35768 35904 46288 47872 49181 50496 53652 67328 69432 71536 71808 92576 95744 98362 100992 107304 134656 138864 143072 143616 147543 185152 196724 201984 214608 277728 286144 287232 295086 370304 393448 403968 429216 555456 572288 590172 740608 786896 858432 1110912 1144576 1180344 1481216 1573792 1716864 2221824 2289152 2360688 3147584 3433728 4443648 4721376 6295168 6867456 9442752 12590336 18885504 25180672 37771008 75542016