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27374416 = 2423731019
BaseRepresentation
bin110100001101…
…1001101010000
31220111202122021
41220123031100
524001440131
62414421224
7451451536
oct150331520
956452567
1027374416
11144a7893
129201814
135895ba4
1438c8156
15260ae11
hex1a1b350

27374416 has 40 divisors (see below), whose sum is σ = 56157120. Its totient is φ = 12900096.

The previous prime is 27374401. The next prime is 27374419. The reversal of 27374416 is 61447372.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27374419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26355 + ... + 27373.

It is an arithmetic number, because the mean of its divisors is an integer number (1403928).

Almost surely, 227374416 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 27374416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28078560).

27374416 is an abundant number, since it is smaller than the sum of its proper divisors (28782704).

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

27374416 is a wasteful number, since it uses less digits than its factorization.

27374416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 27374416 is about 5232.0565746177. The cubic root of 27374416 is about 301.3803648277.

The spelling of 27374416 in words is "twenty-seven million, three hundred seventy-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 46 73 92 146 184 292 368 584 1019 1168 1679 2038 3358 4076 6716 8152 13432 16304 23437 26864 46874 74387 93748 148774 187496 297548 374992 595096 1190192 1710901 3421802 6843604 13687208 27374416