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133525032 = 23322724509
BaseRepresentation
bin1111111010101…
…10111000101000
3100022020202220120
413331112320220
5233140300112
621125523240
73210641544
oct775267050
9308222816
10133525032
116940a373
1238873520
13218810c4
1413a3aa24
15bac7e8c
hex7f56e28

133525032 has 32 divisors (see below), whose sum is σ = 335296800. Its totient is φ = 44310464.

The previous prime is 133525031. The next prime is 133525039. The reversal of 133525032 is 230525331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 133524993 and 133525011.

It is not an unprimeable number, because it can be changed into a prime (133525031) 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, 6807 + ... + 17702.

It is an arithmetic number, because the mean of its divisors is an integer number (10478025).

Almost surely, 2133525032 is an apocalyptic number.

133525032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133525032 is an abundant number, since it is smaller than the sum of its proper divisors (201771768).

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

133525032 is a wasteful number, since it uses less digits than its factorization.

133525032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24745 (or 24741 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 133525032 is about 11555.3031980991. The cubic root of 133525032 is about 511.1176718475.

The spelling of 133525032 in words is "one hundred thirty-three million, five hundred twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 227 454 681 908 1362 1816 2724 5448 24509 49018 73527 98036 147054 196072 294108 588216 5563543 11127086 16690629 22254172 33381258 44508344 66762516 133525032