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55819344 = 24372331233
BaseRepresentation
bin1101010011101…
…1110001010000
310220000220202010
43110323301100
5103242204334
65312222520
71245312420
oct324736120
9126026663
1055819344
1129565999
121683aa40
13b7450c9
1475b0480
154d790e9
hex353bc50

55819344 has 160 divisors (see below), whose sum is σ = 178274304. Its totient is φ = 14699520.

The previous prime is 55819343. The next prime is 55819349. The reversal of 55819344 is 44391855.

55819344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55819343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239452 + ... + 239684.

Almost surely, 255819344 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 55819344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89137152).

55819344 is an abundant number, since it is smaller than the sum of its proper divisors (122454960).

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

55819344 is a wasteful number, since it uses less digits than its factorization.

55819344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 55819344 is about 7471.2344361558. The cubic root of 55819344 is about 382.1743856264.

The spelling of 55819344 in words is "fifty-five million, eight hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 31 42 46 48 56 62 69 84 92 93 112 124 138 161 168 184 186 217 233 248 276 322 336 368 372 434 466 483 496 552 644 651 699 713 744 868 932 966 1104 1288 1302 1398 1426 1488 1631 1736 1864 1932 2139 2576 2604 2796 2852 3262 3472 3728 3864 4278 4893 4991 5208 5359 5592 5704 6524 7223 7728 8556 9786 9982 10416 10718 11184 11408 13048 14446 14973 16077 17112 19572 19964 21436 21669 26096 28892 29946 32154 34224 37513 39144 39928 42872 43338 50561 57784 59892 64308 75026 78288 79856 85744 86676 101122 112539 115568 119784 128616 150052 151683 166129 173352 202244 225078 239568 257232 300104 303366 332258 346704 404488 450156 498387 600208 606732 664516 808976 900312 996774 1162903 1213464 1329032 1800624 1993548 2325806 2426928 2658064 3488709 3987096 4651612 6977418 7974192 9303224 13954836 18606448 27909672 55819344