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1055824112 = 2472961732
BaseRepresentation
bin111110111011101…
…001100011110000
32201120201102101202
4332323221203300
54130242332422
6252433550332
735110233260
oct7673514360
92646642352
101055824112
114a1a92312
122557153a8
1313a9844c5
14a031d7a0
1562a5bb92
hex3eee98f0

1055824112 has 120 divisors (see below), whose sum is σ = 2492295840. Its totient is φ = 423843840.

The previous prime is 1055824079. The next prime is 1055824127. The reversal of 1055824112 is 2114285501.

It is a super-2 number, since 2×10558241122 = 2229529110961177088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

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, 14463308 + ... + 14463380.

It is an arithmetic number, because the mean of its divisors is an integer number (20769132).

Almost surely, 21055824112 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 1055824112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246147920).

1055824112 is an abundant number, since it is smaller than the sum of its proper divisors (1436471728).

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

1055824112 is an equidigital number, since it uses as much as digits as its factorization.

1055824112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 1055824112 is about 32493.4472163235. The cubic root of 1055824112 is about 1018.2721329789.

The spelling of 1055824112 in words is "one billion, fifty-five million, eight hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 61 73 112 116 122 146 203 232 244 292 406 427 464 488 511 584 812 854 976 1022 1168 1624 1708 1769 2044 2117 3248 3416 3538 4088 4234 4453 5329 6832 7076 8176 8468 8906 10658 12383 14152 14819 16936 17812 21316 24766 28304 29638 31171 33872 35624 37303 42632 49532 59276 62342 71248 74606 85264 99064 118552 124684 129137 149212 154541 198128 237104 249368 258274 298424 309082 325069 498736 516548 596848 618164 650138 903959 1033096 1081787 1236328 1300276 1807918 2066192 2163574 2275483 2472656 2600552 3615836 4327148 4550966 5201104 7231672 8654296 9101932 9427001 14463344 17308592 18203864 18854002 36407728 37708004 65989007 75416008 131978014 150832016 263956028 527912056 1055824112