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75423204 = 223343109149
BaseRepresentation
bin1000111111011…
…01110111100100
312020220220012000
410133231313210
5123302020304
611252325300
71604041503
oct437556744
9166826160
1075423204
113963562a
1221313830
131281a11c
14a03483a
15694c939
hex47edde4

75423204 has 96 divisors (see below), whose sum is σ = 203280000. Its totient is φ = 24167808.

The previous prime is 75423199. The next prime is 75423239. The reversal of 75423204 is 40232457.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506122 + ... + 506270.

It is an arithmetic number, because the mean of its divisors is an integer number (2117500).

Almost surely, 275423204 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 75423204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101640000).

75423204 is an abundant number, since it is smaller than the sum of its proper divisors (127856796).

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

75423204 is a wasteful number, since it uses less digits than its factorization.

75423204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 75423204 is about 8684.6533609581. The cubic root of 75423204 is about 422.5080544197.

The spelling of 75423204 in words is "seventy-five million, four hundred twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 109 129 149 172 218 258 298 327 387 436 447 516 596 654 774 894 981 1161 1308 1341 1548 1788 1962 2322 2682 2943 3924 4023 4644 4687 5364 5886 6407 8046 9374 11772 12814 14061 16092 16241 18748 19221 25628 28122 32482 38442 42183 48723 56244 57663 64964 76884 84366 97446 115326 126549 146169 168732 172989 194892 230652 253098 292338 345978 438507 506196 584676 691956 698363 877014 1396726 1754028 2095089 2793452 4190178 6285267 8380356 12570534 18855801 25141068 37711602 75423204