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75012096 = 211329421
BaseRepresentation
bin1000111100010…
…01100000000000
312020011000020210
410132021200000
5123200341341
611235434120
71600410105
oct436114000
9166130223
1075012096
1139384775
1221155940
1312704c73
149d68aac
1568bac16
hex4789800

75012096 has 96 divisors (see below), whose sum is σ = 207370800. Its totient is φ = 24084480.

The previous prime is 75012089. The next prime is 75012101. The reversal of 75012096 is 69021057.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177966 + ... + 178386.

Almost surely, 275012096 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 75012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103685400).

75012096 is an abundant number, since it is smaller than the sum of its proper divisors (132358704).

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

75012096 is a wasteful number, since it uses less digits than its factorization.

75012096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 75012096 is about 8660.9523725743. The cubic root of 75012096 is about 421.7390029022.

The spelling of 75012096 in words is "seventy-five million, twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 421 464 512 696 768 842 928 1024 1263 1392 1536 1684 1856 2048 2526 2784 3072 3368 3712 5052 5568 6144 6736 7424 10104 11136 12209 13472 14848 20208 22272 24418 26944 29696 36627 40416 44544 48836 53888 59392 73254 80832 89088 97672 107776 146508 161664 178176 195344 215552 293016 323328 390688 431104 586032 646656 781376 862208 1172064 1293312 1562752 2344128 2586624 3125504 4688256 6251008 9376512 12502016 18753024 25004032 37506048 75012096