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75019424 = 253763361
BaseRepresentation
bin1000111100010…
…11010010100000
312020011101022012
410132023102200
5123201110144
611235532052
71600440344
oct436132240
9166141265
1075019424
113938a227
122115a028
13127083bc
149d6b624
1568bce9e
hex478b4a0

75019424 has 24 divisors (see below), whose sum is σ = 151688628. Its totient is φ = 36495360.

The previous prime is 75019421. The next prime is 75019489. The reversal of 75019424 is 42491057.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71707024 + 3312400 = 8468^2 + 1820^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (75019421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30497 + ... + 32864.

Almost surely, 275019424 is an apocalyptic number.

75019424 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

75019424 is an abundant number, since it is smaller than the sum of its proper divisors (76669204).

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

75019424 is a wasteful number, since it uses less digits than its factorization.

75019424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63408 (or 63400 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 75019424 is about 8661.3754104068. The cubic root of 75019424 is about 421.7527358108.

The spelling of 75019424 in words is "seventy-five million, nineteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 63361 126722 253444 506888 1013776 2027552 2344357 4688714 9377428 18754856 37509712 75019424