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55339424 = 2572291217
BaseRepresentation
bin1101001100011…
…0100110100000
310212010112102022
43103012212200
5103131330144
65254041012
71241243300
oct323064640
9125115368
1055339424
1129268368
1216649168
13b60782a
1474c7600
154cd1cee
hex34c69a0

55339424 has 72 divisors (see below), whose sum is σ = 131215140. Its totient is φ = 22880256.

The previous prime is 55339411. The next prime is 55339429. The reversal of 55339424 is 42493355.

It can be written as a sum of positive squares in 2 ways, for example, as 55056400 + 283024 = 7420^2 + 532^2 .

It is not an unprimeable number, because it can be changed into a prime (55339429) 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 11 ways as a sum of consecutive naturals, for example, 44864 + ... + 46080.

Almost surely, 255339424 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 55339424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65607570).

55339424 is an abundant number, since it is smaller than the sum of its proper divisors (75875716).

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

55339424 is a wasteful number, since it uses less digits than its factorization.

55339424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1255 counting only the distinct ones).

The product of its digits is 64800, while the sum is 35.

The square root of 55339424 is about 7439.0472508245. The cubic root of 55339424 is about 381.0759533798.

The spelling of 55339424 in words is "fifty-five million, three hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 1217 1421 1568 1624 2434 2842 3248 4868 5684 6496 8519 9736 11368 17038 19472 22736 34076 35293 38944 45472 59633 68152 70586 119266 136304 141172 238532 247051 272608 282344 477064 494102 564688 954128 988204 1129376 1729357 1908256 1976408 3458714 3952816 6917428 7905632 13834856 27669712 55339424