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133532952 = 23375571427
BaseRepresentation
bin1111111010110…
…00110100011000
3100022021011202220
413331120310120
5233141023302
621130024040
73211003620
oct775306430
9308234686
10133532952
1169415313
1238878020
13218848a7
1413a3d880
15baca4bc
hex7f58d18

133532952 has 64 divisors (see below), whose sum is σ = 382475520. Its totient is φ = 38057088.

The previous prime is 133532951. The next prime is 133532953. The reversal of 133532952 is 259235331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133532951) and next prime (133532953).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133532951) 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, 92863 + ... + 94289.

It is an arithmetic number, because the mean of its divisors is an integer number (5976180).

Almost surely, 2133532952 is an apocalyptic number.

133532952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133532952 is an abundant number, since it is smaller than the sum of its proper divisors (248942568).

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

133532952 is a wasteful number, since it uses less digits than its factorization.

133532952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1996 counting only the distinct ones).

The product of its digits is 24300, while the sum is 33.

The square root of 133532952 is about 11555.6458928093. The cubic root of 133532952 is about 511.1277772483.

The spelling of 133532952 in words is "one hundred thirty-three million, five hundred thirty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 557 1114 1427 1671 2228 2854 3342 3899 4281 4456 5708 6684 7798 8562 9989 11416 11697 13368 15596 17124 19978 23394 29967 31192 34248 39956 46788 59934 79912 93576 119868 239736 794839 1589678 2384517 3179356 4769034 5563873 6358712 9538068 11127746 16691619 19076136 22255492 33383238 44510984 66766476 133532952