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75682440 = 23325210229
BaseRepresentation
bin1001000001011…
…01001010001000
312021102001210100
410200231022020
5123333314230
611302045400
71606201341
oct440551210
9167361710
1075682440
11397a2379
1221419860
13128ab112
14a0a10c8
15699e660
hex482d288

75682440 has 48 divisors (see below), whose sum is σ = 245969100. Its totient is φ = 20181888.

The previous prime is 75682423. The next prime is 75682447. The reversal of 75682440 is 4428657.

It can be written as a sum of positive squares in 2 ways, for example, as 64352484 + 11329956 = 8022^2 + 3366^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75682395 and 75682404.

It is not an unprimeable number, because it can be changed into a prime (75682447) 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, 104755 + ... + 105474.

Almost surely, 275682440 is an apocalyptic number.

It is an amenable number.

75682440 is an abundant number, since it is smaller than the sum of its proper divisors (170286660).

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

75682440 is a wasteful number, since it uses less digits than its factorization.

75682440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210246 (or 210239 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 75682440 is about 8699.5655063917. The cubic root of 75682440 is about 422.9915663191.

The spelling of 75682440 in words is "seventy-five million, six hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 210229 420458 630687 840916 1051145 1261374 1681832 1892061 2102290 2522748 3153435 3784122 4204580 5045496 6306870 7568244 8409160 9460305 12613740 15136488 18920610 25227480 37841220 75682440