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1642433136 = 243148723011
BaseRepresentation
bin110000111100101…
…1000101001110000
311020110112020200220
41201321120221300
511330430330021
6430551013040
755462310541
oct14171305160
94213466626
101642433136
11773124363
1239a06a180
13202371c36
141181bc4c8
15992d1cc6
hex61e58a70

1642433136 has 40 divisors (see below), whose sum is σ = 4245990144. Its totient is φ = 547085760.

The previous prime is 1642433101. The next prime is 1642433137. The reversal of 1642433136 is 6313342461.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1642433097 and 1642433106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642433137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59871 + ... + 82881.

Almost surely, 21642433136 is an apocalyptic number.

1642433136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1642433136 is an abundant number, since it is smaller than the sum of its proper divisors (2603557008).

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

1642433136 is a wasteful number, since it uses less digits than its factorization.

1642433136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24509 (or 24503 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 1642433136 is about 40526.9433340340. The cubic root of 1642433136 is about 1179.8566176448.

Adding to 1642433136 its reverse (6313342461), we get a palindrome (7955775597).

It can be divided in two parts, 1642 and 433136, that added together give a triangular number (434778 = T932).

The spelling of 1642433136 in words is "one billion, six hundred forty-two million, four hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 1487 2974 4461 5948 8922 11896 17844 23011 23792 35688 46022 69033 71376 92044 138066 184088 276132 368176 552264 1104528 34217357 68434714 102652071 136869428 205304142 273738856 410608284 547477712 821216568 1642433136