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27061408 = 2511229241
BaseRepresentation
bin110011100111…
…0110010100000
31212220212021101
41213032302200
523411431113
62404004144
7446006143
oct147166240
955825241
1027061408
1114303700
129090654
1357b658a
14384605a
1525982dd
hex19ceca0

27061408 has 72 divisors (see below), whose sum is σ = 60831540. Its totient is φ = 11827200.

The previous prime is 27061387. The next prime is 27061417. The reversal of 27061408 is 80416072.

It can be written as a sum of positive squares in 2 ways, for example, as 26501904 + 559504 = 5148^2 + 748^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112168 + ... + 112408.

Almost surely, 227061408 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 27061408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30415770).

27061408 is an abundant number, since it is smaller than the sum of its proper divisors (33770132).

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

27061408 is a wasteful number, since it uses less digits than its factorization.

27061408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 27061408 is about 5202.0580542704. The cubic root of 27061408 is about 300.2272648292.

It can be divided in two parts, 2706 and 1408, that added together give a palindrome (4114).

The spelling of 27061408 in words is "twenty-seven million, sixty-one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 121 176 232 241 242 319 352 464 482 484 638 928 964 968 1276 1928 1936 2552 2651 3509 3856 3872 5104 5302 6989 7018 7712 10208 10604 13978 14036 21208 27956 28072 29161 42416 55912 56144 58322 76879 84832 111824 112288 116644 153758 223648 233288 307516 466576 615032 845669 933152 1230064 1691338 2460128 3382676 6765352 13530704 27061408