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133448096 = 25171912911
BaseRepresentation
bin1111111010001…
…00000110100000
3100022002212101002
413331010012200
5233130314341
621124131132
73210201335
oct775040640
9308085332
10133448096
1169367591
1238836aa8
1321855092
1413a1a98c
15bab029b
hex7f441a0

133448096 has 48 divisors (see below), whose sum is σ = 292844160. Its totient is φ = 59489280.

The previous prime is 133448083. The next prime is 133448099. The reversal of 133448096 is 690844331.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (133448099) 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, 3881 + ... + 16791.

It is an arithmetic number, because the mean of its divisors is an integer number (6100920).

Almost surely, 2133448096 is an apocalyptic number.

133448096 is a gapful number since it is divisible by the number (16) 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 133448096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146422080).

133448096 is an abundant number, since it is smaller than the sum of its proper divisors (159396064).

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

133448096 is a wasteful number, since it uses less digits than its factorization.

133448096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12957 (or 12949 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 133448096 is about 11551.9736841806. The cubic root of 133448096 is about 511.0194857530.

The spelling of 133448096 in words is "one hundred thirty-three million, four hundred forty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 10336 12911 25822 51644 103288 206576 219487 245309 413152 438974 490618 877948 981236 1755896 1962472 3511792 3924944 4170253 7023584 7849888 8340506 16681012 33362024 66724048 133448096