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133386428 = 22722931757
BaseRepresentation
bin1111111001101…
…01000010111100
3100021222201210002
413330311002330
5233121331203
621122533432
73206523500
oct774650274
9307881702
10133386428
116932521a
1238807278
1321832ca6
1413a02300
15ba9bd88
hex7f350bc

133386428 has 72 divisors (see below), whose sum is σ = 290344320. Its totient is φ = 53343360.

The previous prime is 133386419. The next prime is 133386467. The reversal of 133386428 is 824683331.

It is a junction number, because it is equal to n+sod(n) for n = 133386391 and 133386400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175826 + ... + 176582.

It is an arithmetic number, because the mean of its divisors is an integer number (4032560).

Almost surely, 2133386428 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 133386428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145172160).

133386428 is an abundant number, since it is smaller than the sum of its proper divisors (156957892).

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

133386428 is a wasteful number, since it uses less digits than its factorization.

133386428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 826 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 133386428 is about 11549.3042214672. The cubic root of 133386428 is about 510.9407575031.

The spelling of 133386428 in words is "one hundred thirty-three million, three hundred eighty-six thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 28 29 31 49 58 62 98 116 124 196 203 217 406 434 757 812 868 899 1421 1514 1519 1798 2842 3028 3038 3596 5299 5684 6076 6293 10598 12586 21196 21953 23467 25172 37093 43906 44051 46934 74186 87812 88102 93868 148372 153671 164269 176204 307342 328538 614684 657076 680543 1075697 1149883 1361086 2151394 2299766 2722172 4302788 4599532 4763801 9527602 19055204 33346607 66693214 133386428