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133458048 = 2732115849
BaseRepresentation
bin1111111010001…
…10100010000000
3100022010101000200
413331012202000
5233131124143
621124245200
73210242343
oct775064200
9308111020
10133458048
1169374009
1238840800
1321859779
1413a2045a
15bab31d3
hex7f46880

133458048 has 48 divisors (see below), whose sum is σ = 384042750. Its totient is φ = 44485632.

The previous prime is 133458047. The next prime is 133458053. The reversal of 133458048 is 840854331.

133458048 is a `hidden beast` number, since 1 + 3 + 34 + 580 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95413824 + 38044224 = 9768^2 + 6168^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1334580482 = 35622101151940608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133458047) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56773 + ... + 59076.

Almost surely, 2133458048 is an apocalyptic number.

133458048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133458048 is an abundant number, since it is smaller than the sum of its proper divisors (250584702).

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

133458048 is a wasteful number, since it uses less digits than its factorization.

133458048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115869 (or 115854 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 133458048 is about 11552.4044250537. The cubic root of 133458048 is about 511.0321886681.

The spelling of 133458048 in words is "one hundred thirty-three million, four hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 115849 231698 347547 463396 695094 926792 1042641 1390188 1853584 2085282 2780376 3707168 4170564 5560752 7414336 8341128 11121504 14828672 16682256 22243008 33364512 44486016 66729024 133458048