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55820448 = 253323532
BaseRepresentation
bin1101010011110…
…0000010100000
310220000222021000
43110330002200
5103242223243
65312232000
71245315555
oct324740240
9126028230
1055820448
1129566802
121683b600
13b745768
1475b0a2c
154d795d3
hex353c0a0

55820448 has 144 divisors (see below), whose sum is σ = 173154240. Its totient is φ = 17462016.

The previous prime is 55820441. The next prime is 55820449. The reversal of 55820448 is 84402855.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55820441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053190 + ... + 1053242.

It is an arithmetic number, because the mean of its divisors is an integer number (1202460).

Almost surely, 255820448 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 55820448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86577120).

55820448 is an abundant number, since it is smaller than the sum of its proper divisors (117333792).

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

55820448 is a wasteful number, since it uses less digits than its factorization.

55820448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 55820448 is about 7471.3083191634. The cubic root of 55820448 is about 382.1769051696.

The spelling of 55820448 in words is "fifty-five million, eight hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 53 54 69 72 92 96 106 108 138 144 159 184 207 212 216 276 288 318 368 414 424 432 477 552 621 636 736 828 848 864 954 1104 1219 1242 1272 1431 1656 1696 1908 2208 2438 2484 2544 2809 2862 3312 3657 3816 4876 4968 5088 5618 5724 6624 7314 7632 8427 9752 9936 10971 11236 11448 14628 15264 16854 19504 19872 21942 22472 22896 25281 29256 32913 33708 39008 43884 44944 45792 50562 58512 64607 65826 67416 75843 87768 89888 101124 117024 129214 131652 134832 151686 175536 193821 202248 258428 263304 269664 303372 351072 387642 404496 516856 526608 581463 606744 775284 808992 1033712 1053216 1162926 1213488 1550568 1744389 2067424 2325852 2426976 3101136 3488778 4651704 6202272 6977556 9303408 13955112 18606816 27910224 55820448