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133828475 = 52112997173
BaseRepresentation
bin1111111101000…
…00111101111011
3100022211012011012
413332200331323
5233230002400
621140224135
73213344324
oct776407573
9308735135
10133828475
11695a7350
123899b04b
1321959261
1413ab944b
15bb37d35
hex7fa0f7b

133828475 has 48 divisors (see below), whose sum is σ = 190300320. Its totient is φ = 92467200.

The previous prime is 133828441. The next prime is 133828477. The reversal of 133828475 is 574828331.

It is a de Polignac number, because none of the positive numbers 2k-133828475 is a prime.

Its product of digits (161280) is a multiple of the sum of its prime divisors (315).

It is not an unprimeable number, because it can be changed into a prime (133828477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773489 + ... + 773661.

It is an arithmetic number, because the mean of its divisors is an integer number (3964590).

Almost surely, 2133828475 is an apocalyptic number.

133828475 is a deficient number, since it is larger than the sum of its proper divisors (56471845).

133828475 is a wasteful number, since it uses less digits than its factorization.

133828475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 133828475 is about 11568.4257788171. The cubic root of 133828475 is about 511.5045599540.

The spelling of 133828475 in words is "one hundred thirty-three million, eight hundred twenty-eight thousand, four hundred seventy-five".

Divisors: 1 5 11 25 29 55 97 145 173 275 319 485 725 865 1067 1595 1903 2425 2813 4325 5017 5335 7975 9515 14065 16781 25085 26675 30943 47575 55187 70325 83905 125425 154715 184591 275935 419525 486649 773575 922955 1379675 2433245 4614775 5353139 12166225 26765695 133828475