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27080352 = 2533132411
BaseRepresentation
bin110011101001…
…1011010100000
31212221211021000
41213103122200
523413032402
62404232000
7446115315
oct147233240
955854230
1027080352
1114316962
12909b600
1357c20a0
14384cd0c
15259dc1c
hex19d36a0

27080352 has 96 divisors (see below), whose sum is σ = 85095360. Its totient is φ = 8328960.

The previous prime is 27080311. The next prime is 27080353. The reversal of 27080352 is 25308072.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (27080353) 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, 10027 + ... + 12437.

It is an arithmetic number, because the mean of its divisors is an integer number (886410).

Almost surely, 227080352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27080352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42547680).

27080352 is an abundant number, since it is smaller than the sum of its proper divisors (58015008).

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

27080352 is a wasteful number, since it uses less digits than its factorization.

27080352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 27080352 is about 5203.8785535406. The cubic root of 27080352 is about 300.2973052679.

The spelling of 27080352 in words is "twenty-seven million, eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2411 2808 3744 4822 5616 7233 9644 11232 14466 19288 21699 28932 31343 38576 43398 57864 62686 65097 77152 86796 94029 115728 125372 130194 173592 188058 231456 250744 260388 282087 347184 376116 501488 520776 564174 694368 752232 846261 1002976 1041552 1128348 1504464 1692522 2083104 2256696 3008928 3385044 4513392 6770088 9026784 13540176 27080352