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2055464532 = 2233119717837
BaseRepresentation
bin111101010000011…
…1110011001010100
312022020201102021000
41322200332121110
513202144331112
6535543423300
7101636105652
oct17240763124
95266642230
102055464532
1196528aa20
12494454b30
13269ac6b04
14156db5dd2
15c06bb7dc
hex7a83e654

2055464532 has 96 divisors (see below), whose sum is σ = 5873696640. Its totient is φ = 616412160.

The previous prime is 2055464531. The next prime is 2055464533. The reversal of 2055464532 is 2354645502.

2055464532 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 4 + 645 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2055464531) and next prime (2055464533).

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 (2055464531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106318 + ... + 124154.

It is an arithmetic number, because the mean of its divisors is an integer number (61184340).

Almost surely, 22055464532 is an apocalyptic number.

2055464532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055464532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936848320).

2055464532 is an abundant number, since it is smaller than the sum of its proper divisors (3818232108).

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

2055464532 is a wasteful number, since it uses less digits than its factorization.

2055464532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17958 (or 17950 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 2055464532 is about 45337.2311902701. The cubic root of 2055464532 is about 1271.4618362450.

The spelling of 2055464532 in words is "two billion, fifty-five million, four hundred sixty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 97 99 108 132 194 198 291 297 388 396 582 594 873 1067 1164 1188 1746 2134 2619 3201 3492 4268 5238 6402 9603 10476 12804 17837 19206 28809 35674 38412 53511 57618 71348 107022 115236 160533 196207 214044 321066 392414 481599 588621 642132 784828 963198 1177242 1730189 1765863 1926396 2354484 3460378 3531726 5190567 5297589 6920756 7063452 10381134 10595178 15571701 19032079 20762268 21190356 31143402 38064158 46715103 57096237 62286804 76128316 93430206 114192474 171288711 186860412 228384948 342577422 513866133 685154844 1027732266 2055464532