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75880580 = 2257351973
BaseRepresentation
bin1001000010111…
…01100010000100
312021210010120212
410201131202010
5123411134310
611310214552
71610655116
oct441354204
9167703525
1075880580
1139918226
12214b4458
131294a369
14a1133b6
1569dd205
hex485d884

75880580 has 24 divisors (see below), whose sum is σ = 161535192. Its totient is φ = 29935872.

The previous prime is 75880573. The next prime is 75880583. The reversal of 75880580 is 8508857.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3936256 + 71944324 = 1984^2 + 8482^2 .

It is a super-3 number, since 3×758805803 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (75880583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24527 + ... + 27446.

It is an arithmetic number, because the mean of its divisors is an integer number (6730633).

Almost surely, 275880580 is an apocalyptic number.

It is an amenable number.

75880580 is an abundant number, since it is smaller than the sum of its proper divisors (85654612).

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

75880580 is a wasteful number, since it uses less digits than its factorization.

75880580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52055 (or 52053 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 41.

The square root of 75880580 is about 8710.9459876640. The cubic root of 75880580 is about 423.3603815703.

The spelling of 75880580 in words is "seventy-five million, eight hundred eighty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 51973 103946 207892 259865 519730 1039460 3794029 7588058 15176116 18970145 37940290 75880580