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75076404 = 223133713007
BaseRepresentation
bin1000111100110…
…01001100110100
312020021021110120
410132121030310
5123204421104
611241051540
71601065434
oct436311464
9166237416
1075076404
1139419017
1221186bb0
1312728310
149d842c4
1568cecd9
hex4799334

75076404 has 48 divisors (see below), whose sum is σ = 193767168. Its totient is φ = 22474368.

The previous prime is 75076373. The next prime is 75076457. The reversal of 75076404 is 40467057.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 732 + ... + 12275.

It is an arithmetic number, because the mean of its divisors is an integer number (4036816).

Almost surely, 275076404 is an apocalyptic number.

75076404 is a gapful number since it is divisible by the number (74) 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 75076404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96883584).

75076404 is an abundant number, since it is smaller than the sum of its proper divisors (118690764).

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

75076404 is a wasteful number, since it uses less digits than its factorization.

75076404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13064 (or 13062 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 75076404 is about 8664.6641019719. The cubic root of 75076404 is about 421.8594876710.

The spelling of 75076404 in words is "seventy-five million, seventy-six thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2886 5772 13007 26014 39021 52028 78042 156084 169091 338182 481259 507273 676364 962518 1014546 1443777 1925036 2029092 2887554 5775108 6256367 12512734 18769101 25025468 37538202 75076404