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75354093 = 3229614733
BaseRepresentation
bin1000111110111…
…00111111101101
312020210101101100
410133130333231
5123242312333
611251033313
71603333143
oct437347755
9166711340
1075354093
1139598711
122129b839
13127c4829
14a017593
156937213
hex47dcfed

75354093 has 24 divisors (see below), whose sum is σ = 114468120. Its totient is φ = 47698560.

The previous prime is 75354091. The next prime is 75354107. The reversal of 75354093 is 39045357.

It can be written as a sum of positive squares in 4 ways, for example, as 393129 + 74960964 = 627^2 + 8658^2 .

It is not a de Polignac number, because 75354093 - 21 = 75354091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75354091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13555 + ... + 18287.

It is an arithmetic number, because the mean of its divisors is an integer number (4769505).

Almost surely, 275354093 is an apocalyptic number.

It is an amenable number.

75354093 is a deficient number, since it is larger than the sum of its proper divisors (39114027).

75354093 is a wasteful number, since it uses less digits than its factorization.

75354093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 75354093 is about 8680.6735337761. The cubic root of 75354093 is about 422.3789655988.

It can be divided in two parts, 7535 and 4093, that added together give a triangular number (11628 = T152).

The spelling of 75354093 in words is "seventy-five million, three hundred fifty-four thousand, ninety-three".

Divisors: 1 3 9 29 61 87 183 261 549 1769 4733 5307 14199 15921 42597 137257 288713 411771 866139 1235313 2598417 8372677 25118031 75354093