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55758444 = 2237432359
BaseRepresentation
bin1101010010110…
…0111001101100
310212220211012120
43110230321230
5103233232234
65311032540
71244640030
oct324547154
9125824176
1055758444
1129524165
121680b750
13b723481
1475961c0
154d66049
hex352ce6c

55758444 has 72 divisors (see below), whose sum is σ = 152651520. Its totient is φ = 15517152.

The previous prime is 55758433. The next prime is 55758467. The reversal of 55758444 is 44485755.

It is a happy number.

It is a super-2 number, since 2×557584442 = 6218008154602272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 55758396 and 55758405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155137 + ... + 155495.

It is an arithmetic number, because the mean of its divisors is an integer number (2120160).

Almost surely, 255758444 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 55758444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76325760).

55758444 is an abundant number, since it is smaller than the sum of its proper divisors (96893076).

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

55758444 is a wasteful number, since it uses less digits than its factorization.

55758444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 414 counting only the distinct ones).

The product of its digits is 448000, while the sum is 42.

The square root of 55758444 is about 7467.1576921878. The cubic root of 55758444 is about 382.0353484645.

The spelling of 55758444 in words is "fifty-five million, seven hundred fifty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 359 516 602 718 903 1077 1204 1436 1806 1849 2154 2513 3612 3698 4308 5026 5547 7396 7539 10052 11094 12943 15078 15437 22188 25886 30156 30874 38829 46311 51772 61748 77658 92622 108059 155316 185244 216118 324177 432236 648354 663791 1296708 1327582 1991373 2655164 3982746 4646537 7965492 9293074 13939611 18586148 27879222 55758444