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55352416 = 257298521
BaseRepresentation
bin1101001100100…
…1110001100000
310212011012020111
43103021301200
5103132234131
65254221104
71241326210
oct323116140
9125135214
1055352416
11292770a9
1216654794
13b610712
1474cc240
154cd5ab1
hex34c9c60

55352416 has 48 divisors (see below), whose sum is σ = 128852640. Its totient is φ = 22901760.

The previous prime is 55352413. The next prime is 55352449. The reversal of 55352416 is 61425355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55352413) 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, 2236 + ... + 10756.

It is an arithmetic number, because the mean of its divisors is an integer number (2684430).

Almost surely, 255352416 is an apocalyptic number.

55352416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55352416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64426320).

55352416 is an abundant number, since it is smaller than the sum of its proper divisors (73500224).

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

55352416 is a wasteful number, since it uses less digits than its factorization.

55352416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8567 (or 8559 counting only the distinct ones).

The product of its digits is 18000, while the sum is 31.

The square root of 55352416 is about 7439.9204296820. The cubic root of 55352416 is about 381.1057726963.

The spelling of 55352416 in words is "fifty-five million, three hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 8521 17042 34084 59647 68168 119294 136336 238588 247109 272672 477176 494218 954352 988436 1729763 1908704 1976872 3459526 3953744 6919052 7907488 13838104 27676208 55352416