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75680484 = 223111793203
BaseRepresentation
bin1001000001011…
…00101011100100
312021101222002220
410200230223210
5123333233414
611302032340
71606162545
oct440545344
9167358086
1075680484
11397a0960
12214186b0
13128aa269
14a0a04cc
15699dca9
hex482cae4

75680484 has 48 divisors (see below), whose sum is σ = 193777920. Its totient is φ = 22798240.

The previous prime is 75680461. The next prime is 75680491. The reversal of 75680484 is 48408657.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22027 + ... + 25229.

It is an arithmetic number, because the mean of its divisors is an integer number (4037040).

Almost surely, 275680484 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 75680484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96888960).

75680484 is an abundant number, since it is smaller than the sum of its proper divisors (118097436).

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

75680484 is a wasteful number, since it uses less digits than its factorization.

75680484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 75680484 is about 8699.4530862578. The cubic root of 75680484 is about 422.9879222390.

The spelling of 75680484 in words is "seventy-five million, six hundred eighty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 179 358 537 716 1074 1969 2148 3203 3938 5907 6406 7876 9609 11814 12812 19218 23628 35233 38436 70466 105699 140932 211398 422796 573337 1146674 1720011 2293348 3440022 6306707 6880044 12613414 18920121 25226828 37840242 75680484