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980632575 = 3652134139
BaseRepresentation
bin111010011100110…
…100001111111111
32112100020022000000
4322130310033333
54002020220300
6241150205343
733205145046
oct7234641777
92470208000
10980632575
114635a584a
122344b3853
13128218980
149434955d
155b157c00
hex3a7343ff

980632575 has 84 divisors (see below), whose sum is σ = 1963858680. Its totient is φ = 482656320.

The previous prime is 980632567. The next prime is 980632589. The reversal of 980632575 is 575236089.

It is a happy number.

980632575 is a `hidden beast` number, since 9 + 8 + 0 + 632 + 5 + 7 + 5 = 666.

980632575 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 980632575 - 23 = 980632567 is a prime.

It is a super-2 number, since 2×9806325752 = 1923280494302261250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 980632575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 234856 + ... + 238994.

It is an arithmetic number, because the mean of its divisors is an integer number (23379270).

Almost surely, 2980632575 is an apocalyptic number.

980632575 is an abundant number, since it is smaller than the sum of its proper divisors (983226105).

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

980632575 is a wasteful number, since it uses less digits than its factorization.

980632575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 980632575 is about 31315.0534886977. The cubic root of 980632575 is about 993.5020598957.

The spelling of 980632575 in words is "nine hundred eighty million, six hundred thirty-two thousand, five hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 195 225 243 325 351 405 585 675 729 975 1053 1215 1755 2025 2925 3159 3645 4139 5265 6075 8775 9477 12417 15795 18225 20695 26325 37251 47385 53807 62085 78975 103475 111753 161421 186255 236925 269035 310425 335259 484263 558765 807105 931275 1005777 1345175 1452789 1676295 2421315 2793825 3017331 4035525 4358367 5028885 7263945 8381475 12106575 13075101 15086655 21791835 25144425 36319725 39225303 65375505 75433275 108959175 196126515 326877525 980632575