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132402452 = 22713616789
BaseRepresentation
bin1111110010001…
…00110100010100
3100020010202000112
413321010310110
5232343334302
621045502152
73165254660
oct771046424
9306122015
10132402452
1168812a16
1238411958
132157a160
14138278a0
15b955552
hex7e44d14

132402452 has 96 divisors (see below), whose sum is σ = 297480960. Its totient is φ = 50181120.

The previous prime is 132402451. The next prime is 132402463. The reversal of 132402452 is 254204231.

It is a happy number.

It is a super-2 number, since 2×1324024522 = 35060818591224608, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132402451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1487624 + ... + 1487712.

It is an arithmetic number, because the mean of its divisors is an integer number (3098760).

Almost surely, 2132402452 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 132402452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480).

132402452 is an abundant number, since it is smaller than the sum of its proper divisors (165078508).

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

132402452 is a wasteful number, since it uses less digits than its factorization.

132402452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 132402452 is about 11506.6264387091. The cubic root of 132402452 is about 509.6812720794.

Adding to 132402452 its reverse (254204231), we get a palindrome (386606683).

The spelling of 132402452 in words is "one hundred thirty-two million, four hundred two thousand, four hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 61 67 89 91 122 134 178 182 244 268 356 364 427 469 623 793 854 871 938 1157 1246 1586 1708 1742 1876 2314 2492 3172 3484 4087 4628 5429 5551 5963 6097 8099 8174 10858 11102 11926 12194 16198 16348 21716 22204 23852 24388 28609 32396 38003 41741 53131 57218 70577 76006 77519 83482 106262 114436 141154 152012 155038 166964 212524 282308 310076 363743 371917 494039 542633 727486 743834 988078 1085266 1454972 1487668 1976156 2170532 2546201 4728659 5092402 9457318 10184804 18914636 33100613 66201226 132402452