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55844544 = 2637371123
BaseRepresentation
bin1101010100000…
…1111011000000
310220002012022110
43111001323000
5103244011134
65312535320
71245446040
oct325017300
9126065273
1055844544
1129582918
1216851540
13b753712
1475b9720
154d817e9
hex3541ec0

55844544 has 112 divisors (see below), whose sum is σ = 173581568. Its totient is φ = 15510528.

The previous prime is 55844543. The next prime is 55844603. The reversal of 55844544 is 44544855.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×558445442 = 6237226189135872, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55844543) 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 15 ways as a sum of consecutive naturals, for example, 49167 + ... + 50289.

Almost surely, 255844544 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 55844544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86790784).

55844544 is an abundant number, since it is smaller than the sum of its proper divisors (117737024).

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

55844544 is a wasteful number, since it uses less digits than its factorization.

55844544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1172 counting only the distinct ones).

The product of its digits is 256000, while the sum is 39.

The square root of 55844544 is about 7472.9207141519. The cubic root of 55844544 is about 382.2318886645.

The spelling of 55844544 in words is "fifty-five million, eight hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1123 1184 1344 1554 1776 2072 2246 2368 3108 3369 3552 4144 4492 6216 6738 7104 7861 8288 8984 12432 13476 15722 16576 17968 23583 24864 26952 31444 35936 41551 47166 49728 53904 62888 71872 83102 94332 107808 124653 125776 166204 188664 215616 249306 251552 290857 332408 377328 498612 503104 581714 664816 754656 872571 997224 1163428 1329632 1509312 1745142 1994448 2326856 2659264 3490284 3988896 4653712 6980568 7977792 9307424 13961136 18614848 27922272 55844544