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675482742 = 232112523593
BaseRepresentation
bin101000010000110…
…000110001110110
31202002001002010100
4220100300301312
52340410421432
6151005534530
722511336304
oct5020606166
91662032110
10675482742
11317324200
1216a274446
13a9c36b3c
14659d5274
153e47d07c
hex28430c76

675482742 has 72 divisors (see below), whose sum is σ = 1614484872. Its totient is φ = 203955840.

The previous prime is 675482741. The next prime is 675482771. The reversal of 675482742 is 247284576.

It is a happy number.

675482742 is a `hidden beast` number, since 67 + 548 + 2 + 7 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675482741) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1138798 + ... + 1139390.

It is an arithmetic number, because the mean of its divisors is an integer number (22423401).

Almost surely, 2675482742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675482742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807242436).

675482742 is an abundant number, since it is smaller than the sum of its proper divisors (939002130).

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

675482742 is a wasteful number, since it uses less digits than its factorization.

675482742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1132 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 675482742 is about 25990.0508271915. The cubic root of 675482742 is about 877.4143895831.

The spelling of 675482742 in words is "six hundred seventy-five million, four hundred eighty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 523 593 726 1046 1089 1186 1569 1779 2178 3138 3558 4707 5337 5753 6523 9414 10674 11506 13046 17259 19569 34518 39138 51777 58707 63283 71753 103554 117414 126566 143506 189849 215259 310139 379698 430518 569547 620278 645777 930417 1139094 1291554 1860834 2791251 3411529 5582502 6823058 10234587 20469174 30703761 37526819 61407522 75053638 112580457 225160914 337741371 675482742