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55740416 = 211171601
BaseRepresentation
bin1101010010100…
…0100000000000
310212212220110212
43110220200000
5103232143131
65310413252
71244533334
oct324504000
9125786425
1055740416
1129511666
1216801228
13b7181c4
14758d7c4
154d60a2b
hex3528800

55740416 has 48 divisors (see below), whose sum is σ = 118083420. Its totient is φ = 26214400.

The previous prime is 55740413. The next prime is 55740439. The reversal of 55740416 is 61404755.

It can be written as a sum of positive squares in 2 ways, for example, as 42198016 + 13542400 = 6496^2 + 3680^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55740413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34016 + ... + 35616.

Almost surely, 255740416 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 55740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59041710).

55740416 is an abundant number, since it is smaller than the sum of its proper divisors (62343004).

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

55740416 is a wasteful number, since it uses less digits than its factorization.

55740416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 55740416 is about 7465.9504418393. The cubic root of 55740416 is about 381.9941703925.

The spelling of 55740416 in words is "fifty-five million, seven hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 1601 2048 2176 3202 4352 6404 8704 12808 17408 25616 27217 34816 51232 54434 102464 108868 204928 217736 409856 435472 819712 870944 1639424 1741888 3278848 3483776 6967552 13935104 27870208 55740416