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75489696 = 2532614297
BaseRepresentation
bin1000111111111…
…10000110100000
312021001021101200
410133332012200
5123311132241
611254001200
71604436402
oct437760640
9167037350
1075489696
1139680587
1221346200
1312841479
14a050b72
1569624b6
hex47fe1a0

75489696 has 72 divisors (see below), whose sum is σ = 218243844. Its totient is φ = 24744960.

The previous prime is 75489691. The next prime is 75489709. The reversal of 75489696 is 69698457.

75489696 is a `hidden beast` number, since 7 + 548 + 9 + 6 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69555600 + 5934096 = 8340^2 + 2436^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (75489691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15420 + ... + 19716.

Almost surely, 275489696 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 75489696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109121922).

75489696 is an abundant number, since it is smaller than the sum of its proper divisors (142754148).

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

75489696 is a wasteful number, since it uses less digits than its factorization.

75489696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4363 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 75489696 is about 8688.4806496878. The cubic root of 75489696 is about 422.6321769378.

The spelling of 75489696 in words is "seventy-five million, four hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4297 4392 5856 8594 8784 12891 17188 17568 25782 34376 38673 51564 68752 77346 103128 137504 154692 206256 262117 309384 412512 524234 618768 786351 1048468 1237536 1572702 2096936 2359053 3145404 4193872 4718106 6290808 8387744 9436212 12581616 18872424 25163232 37744848 75489696