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75304242 = 2361329137
BaseRepresentation
bin1000111110100…
…00110100110010
312020200212000000
410133100310302
5123234213432
611250010430
71603034616
oct437206462
9166625000
1075304242
1139564212
1221276a16
13127a7c30
14a003346
15692757c
hex47d0d32

75304242 has 112 divisors (see below), whose sum is σ = 190050840. Its totient is φ = 22208256.

The previous prime is 75304219. The next prime is 75304259. The reversal of 75304242 is 24240357.

It can be written as a sum of positive squares in 4 ways, for example, as 55935441 + 19368801 = 7479^2 + 4401^2 .

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 (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 549598 + ... + 549734.

Almost surely, 275304242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75304242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95025420).

75304242 is an abundant number, since it is smaller than the sum of its proper divisors (114746598).

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

75304242 is a wasteful number, since it uses less digits than its factorization.

75304242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

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

The square root of 75304242 is about 8677.8016801492. The cubic root of 75304242 is about 422.2858025162.

Adding to 75304242 its reverse (24240357), we get a palindrome (99544599).

The spelling of 75304242 in words is "seventy-five million, three hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 137 162 174 234 243 261 274 351 377 411 486 522 702 729 754 783 822 1053 1131 1233 1458 1566 1781 2106 2262 2349 2466 3159 3393 3562 3699 3973 4698 5343 6318 6786 7047 7398 7946 9477 10179 10686 11097 11919 14094 16029 18954 20358 21141 22194 23838 30537 32058 33291 35757 42282 48087 51649 61074 66582 71514 91611 96174 99873 103298 107271 144261 154947 183222 199746 214542 274833 288522 309894 321813 432783 464841 549666 643626 865566 929682 965439 1298349 1394523 1930878 2596698 2789046 2896317 4183569 5792634 8367138 12550707 25101414 37652121 75304242