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73138428 = 223211184693
BaseRepresentation
bin1000101110000…
…00000011111100
312002121211001200
410113000003330
5122210412203
611131335500
71545444366
oct427000374
9162554050
1073138428
1138314a90
12205b1590
13121ca19c
1499dbd36
15664a9a3
hex45c00fc

73138428 has 36 divisors (see below), whose sum is σ = 201685848. Its totient is φ = 22163040.

The previous prime is 73138421. The next prime is 73138441. The reversal of 73138428 is 82483137.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×731384282 = 10698459300622368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73138392 and 73138401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73138421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91951 + ... + 92742.

Almost surely, 273138428 is an apocalyptic number.

It is an amenable number.

73138428 is an abundant number, since it is smaller than the sum of its proper divisors (128547420).

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

73138428 is a wasteful number, since it uses less digits than its factorization.

73138428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184714 (or 184709 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 73138428 is about 8552.1007945417. The cubic root of 73138428 is about 418.1979252374.

The spelling of 73138428 in words is "seventy-three million, one hundred thirty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 184693 369386 554079 738772 1108158 1662237 2031623 2216316 3324474 4063246 6094869 6648948 8126492 12189738 18284607 24379476 36569214 73138428