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45402 = 2372347
BaseRepresentation
bin1011000101011010
32022021120
423011122
52423102
6550110
7246240
oct130532
968246
1045402
1131125
1222336
1317886
1412790
15d6bc
hexb15a

45402 has 32 divisors (see below), whose sum is σ = 110592. Its totient is φ = 12144.

The previous prime is 45389. The next prime is 45403. The reversal of 45402 is 20454.

45402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×454022 = 4122683208, which contains 22 as substring.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (45403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (3456).

245402 is an apocalyptic number.

45402 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55296).

45402 is an abundant number, since it is smaller than the sum of its proper divisors (65190).

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

45402 is a wasteful number, since it uses less digits than its factorization.

45402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82.

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 45402 is about 213.0774507075. The cubic root of 45402 is about 35.6745355839.

Adding to 45402 its reverse (20454), we get a palindrome (65856).

The spelling of 45402 in words is "forty-five thousand, four hundred two".

Divisors: 1 2 3 6 7 14 21 23 42 46 47 69 94 138 141 161 282 322 329 483 658 966 987 1081 1974 2162 3243 6486 7567 15134 22701 45402