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75133296 = 24327193923
BaseRepresentation
bin1000111101001…
…11000101110000
312020101011111200
410132213011300
5123213231141
611242211200
71601423340
oct436470560
9166334450
1075133296
1139457837
12211b3b00
1312748194
149d9ad20
1568e1ab6
hex47a7170

75133296 has 120 divisors (see below), whose sum is σ = 253019520. Its totient is φ = 20331648.

The previous prime is 75133291. The next prime is 75133301. The reversal of 75133296 is 69233157.

It is an interprime number because it is at equal distance from previous prime (75133291) and next prime (75133301).

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 75133296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75133291) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17191 + ... + 21113.

It is an arithmetic number, because the mean of its divisors is an integer number (2108496).

Almost surely, 275133296 is an apocalyptic number.

75133296 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75133296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126509760).

75133296 is an abundant number, since it is smaller than the sum of its proper divisors (177886224).

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

75133296 is a wasteful number, since it uses less digits than its factorization.

75133296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3954 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 75133296 is about 8667.9464696086. The cubic root of 75133296 is about 421.9660207886.

The spelling of 75133296 in words is "seventy-five million, one hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 3923 4788 6384 7846 9576 11769 15692 19152 23538 27461 31384 35307 47076 54922 62768 70614 74537 82383 94152 109844 141228 149074 164766 188304 219688 223611 247149 282456 298148 329532 439376 447222 494298 521759 564912 596296 659064 670833 894444 988596 1043518 1192592 1318128 1341666 1565277 1788888 1977192 2087036 2683332 3130554 3577776 3954384 4174072 4695831 5366664 6261108 8348144 9391662 10733328 12522216 18783324 25044432 37566648 75133296