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55958544 = 2432794919
BaseRepresentation
bin1101010101110…
…1110000010000
310220021222200200
43111131300100
5103311133134
65315215200
71246432305
oct325356020
9126258620
1055958544
1129650534
12168a7500
13b793585
1476090ac
154da5499
hex355dc10

55958544 has 60 divisors (see below), whose sum is σ = 158620800. Its totient is φ = 18412992.

The previous prime is 55958537. The next prime is 55958557. The reversal of 55958544 is 44585955.

55958544 is a `hidden beast` number, since 5 + 59 + 58 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55958544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8917 + ... + 13835.

It is an arithmetic number, because the mean of its divisors is an integer number (2643680).

Almost surely, 255958544 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 55958544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79310400).

55958544 is an abundant number, since it is smaller than the sum of its proper divisors (102662256).

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

55958544 is a wasteful number, since it uses less digits than its factorization.

55958544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 5003 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The square root of 55958544 is about 7480.5443652183. The cubic root of 55958544 is about 382.4918055402.

The spelling of 55958544 in words is "fifty-five million, nine hundred fifty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 4919 5688 9838 11376 14757 19676 29514 39352 44271 59028 78704 88542 118056 177084 236112 354168 388601 708336 777202 1165803 1554404 2331606 3108808 3497409 4663212 6217616 6994818 9326424 13989636 18652848 27979272 55958544