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55519744 = 29722213
BaseRepresentation
bin1101001111001…
…0101000000000
310212110200202211
43103302220000
5103203112434
65301551504
71242624100
oct323625000
9125420684
1055519744
1129380895
1216715594
13b66b927
147533200
154d1a464
hex34f2a00

55519744 has 60 divisors (see below), whose sum is σ = 129100554. Its totient is φ = 23783424.

The previous prime is 55519741. The next prime is 55519757. The reversal of 55519744 is 44791555.

It can be written as a sum of positive squares in only one way, i.e., 30118144 + 25401600 = 5488^2 + 5040^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 55519697 and 55519706.

It is not an unprimeable number, because it can be changed into a prime (55519741) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23982 + ... + 26194.

Almost surely, 255519744 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 55519744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64550277).

55519744 is an abundant number, since it is smaller than the sum of its proper divisors (73580810).

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

55519744 is an equidigital number, since it uses as much as digits as its factorization.

55519744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2222 counting only the distinct ones).

The product of its digits is 126000, while the sum is 40.

The square root of 55519744 is about 7451.1572255590. The cubic root of 55519744 is about 381.4894085660.

The spelling of 55519744 in words is "fifty-five million, five hundred nineteen thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 2213 3136 3584 4426 6272 8852 12544 15491 17704 25088 30982 35408 61964 70816 108437 123928 141632 216874 247856 283264 433748 495712 566528 867496 991424 1133056 1734992 1982848 3469984 3965696 6939968 7931392 13879936 27759872 55519744