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133239552 = 2831923397
BaseRepresentation
bin1111111000100…
…01001100000000
3100021201021022020
413330101030000
5233102131202
621115441440
73205342335
oct774211400
9307637266
10133239552
1169234936
1238756280
13217b1194
14139a498c
15ba6d5bc
hex7f11300

133239552 has 144 divisors (see below), whose sum is σ = 390485760. Its totient is φ = 40144896.

The previous prime is 133239551. The next prime is 133239569. The reversal of 133239552 is 255932331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133239551) 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 15 ways as a sum of consecutive naturals, for example, 335418 + ... + 335814.

Almost surely, 2133239552 is an apocalyptic number.

133239552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133239552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195242880).

133239552 is an abundant number, since it is smaller than the sum of its proper divisors (257246208).

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

133239552 is a wasteful number, since it uses less digits than its factorization.

133239552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 444 counting only the distinct ones).

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

The square root of 133239552 is about 11542.9438186279. The cubic root of 133239552 is about 510.7531509690.

The spelling of 133239552 in words is "one hundred thirty-three million, two hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 228 256 276 304 368 384 397 437 456 552 608 736 768 794 874 912 1104 1191 1216 1311 1472 1588 1748 1824 2208 2382 2432 2622 2944 3176 3496 3648 4416 4764 4864 5244 5888 6352 6992 7296 7543 8832 9131 9528 10488 12704 13984 14592 15086 17664 18262 19056 20976 22629 25408 27393 27968 30172 36524 38112 41952 45258 50816 54786 55936 60344 73048 76224 83904 90516 101632 109572 111872 120688 146096 152448 167808 173489 181032 219144 241376 292192 304896 335616 346978 362064 438288 482752 520467 584384 693956 724128 876576 965504 1040934 1168768 1387912 1448256 1753152 1931008 2081868 2337536 2775824 2896512 3506304 4163736 5551648 5793024 7012608 8327472 11103296 16654944 22206592 33309888 44413184 66619776 133239552