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75113496 = 23323173461
BaseRepresentation
bin1000111101000…
…10010000011000
312020100011100100
410132202100120
5123212112441
611241535400
71601311533
oct436422030
9166304310
1075113496
1139443977
12211a4560
131273c173
149d93a1a
1568dacb6
hex47a2418

75113496 has 96 divisors (see below), whose sum is σ = 213333120. Its totient is φ = 23846400.

The previous prime is 75113491. The next prime is 75113501. The reversal of 75113496 is 69431157.

It is an interprime number because it is at equal distance from previous prime (75113491) and next prime (75113501).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 75113496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75113491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162706 + ... + 163166.

It is an arithmetic number, because the mean of its divisors is an integer number (2222220).

Almost surely, 275113496 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 75113496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106666560).

75113496 is an abundant number, since it is smaller than the sum of its proper divisors (138219624).

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

75113496 is a wasteful number, since it uses less digits than its factorization.

75113496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 570 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 75113496 is about 8666.8042553181. The cubic root of 75113496 is about 421.9289504008.

The spelling of 75113496 in words is "seventy-five million, one hundred thirteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 73 93 124 146 186 219 248 279 292 372 438 461 558 584 657 744 876 922 1116 1314 1383 1752 1844 2232 2263 2628 2766 3688 4149 4526 5256 5532 6789 8298 9052 11064 13578 14291 16596 18104 20367 27156 28582 33192 33653 40734 42873 54312 57164 67306 81468 85746 100959 114328 128619 134612 162936 171492 201918 257238 269224 302877 342984 403836 514476 605754 807672 1028952 1043243 1211508 2086486 2423016 3129729 4172972 6259458 8345944 9389187 12518916 18778374 25037832 37556748 75113496