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75422064 = 2431725437
BaseRepresentation
bin1000111111011…
…01100101110000
312020220211121210
410133231211300
5123302001224
611252320120
71604035254
oct437554560
9166824553
1075422064
1139634793
1221313040
1312819753
14a034264
15694c429
hex47ed970

75422064 has 60 divisors (see below), whose sum is σ = 207013784. Its totient is φ = 23657472.

The previous prime is 75422063. The next prime is 75422089. The reversal of 75422064 is 46022457.

75422064 = 3602 + 3612 + ... + 6482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75422063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11154 + ... + 16590.

Almost surely, 275422064 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 75422064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103506892).

75422064 is an abundant number, since it is smaller than the sum of its proper divisors (131591720).

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

75422064 is a wasteful number, since it uses less digits than its factorization.

75422064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 75422064 is about 8684.5877276932. The cubic root of 75422064 is about 422.5059257131.

The spelling of 75422064 in words is "seventy-five million, four hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 816 867 1156 1734 2312 3468 4624 5437 6936 10874 13872 16311 21748 32622 43496 65244 86992 92429 130488 184858 260976 277287 369716 554574 739432 1109148 1478864 1571293 2218296 3142586 4436592 4713879 6285172 9427758 12570344 18855516 25140688 37711032 75422064