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75116676 = 2231759792
BaseRepresentation
bin1000111101000…
…11000010000100
312020100022201010
410132203002010
5123212213201
611242002220
71601324025
oct436430204
9166308633
1075116676
11394462a8
12211a6370
131274074b
149d94c4c
1568dbbd6
hex47a3084

75116676 has 72 divisors (see below), whose sum is σ = 191147040. Its totient is φ = 22873344.

The previous prime is 75116653. The next prime is 75116677. The reversal of 75116676 is 67661157.

It is not an unprimeable number, because it can be changed into a prime (75116677) 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, 950805 + ... + 950883.

It is an arithmetic number, because the mean of its divisors is an integer number (2654820).

Almost surely, 275116676 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 75116676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95573520).

75116676 is an abundant number, since it is smaller than the sum of its proper divisors (116030364).

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

75116676 is a wasteful number, since it uses less digits than its factorization.

75116676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 160 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 75116676 is about 8666.9877120024. The cubic root of 75116676 is about 421.9349045688.

The spelling of 75116676 in words is "seventy-five million, one hundred sixteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 79 102 118 158 177 204 236 237 316 354 474 708 948 1003 1343 2006 2686 3009 4012 4029 4661 5372 6018 6241 8058 9322 12036 12482 13983 16116 18644 18723 24964 27966 37446 55932 74892 79237 106097 158474 212194 237711 316948 318291 368219 424388 475422 636582 736438 950844 1104657 1273164 1472876 2209314 4418628 6259723 12519446 18779169 25038892 37558338 75116676